Help please... my teacher is being mad annoying and telling me to redo

Question 1) quadratic function

This is not to be confused with the quadratic formula, which is of a similar name. A quadratic function is something like y = 5x^2+10x+17.

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Question 2) Factoring method

This is where we take something like x^2+5x+6 = 0 and turn it into (x+3)(x+2) = 0, then use the zero product property getting x+3 = 0 or x+2 = 0. This leads to x = -3 or x = -2

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Question 3) Quadratic formula

This is the fairly messy/complicated formula as shown below. It's something to either write down on a reference card or just memorize.

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .