15-(3-x)*(3-x)=(2x+3)*(2x+3)-5x(x-1)-7x

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Solution for 15-(3-x)*(3-x)=(2x+3)*(2x+3)-5x(x-1)-7x equation: 


Simplifying
15 + -1(3 + -1x)(3 + -1x) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x

Multiply (3 + -1x) * (3 + -1x)
15 + -1(3(3 + -1x) + -1x * (3 + -1x)) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x
15 + -1((3 * 3 + -1x * 3) + -1x * (3 + -1x)) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x
15 + -1((9 + -3x) + -1x * (3 + -1x)) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x
15 + -1(9 + -3x + (3 * -1x + -1x * -1x)) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x
15 + -1(9 + -3x + (-3x + 1x2)) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x

Combine like terms: -3x + -3x = -6x
15 + -1(9 + -6x + 1x2) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x
15 + (9 * -1 + -6x * -1 + 1x2 * -1) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x
15 + (-9 + 6x + -1x2) = (2x + 3)(2x + 3) + -5x(x + -1) + -7x

Combine like terms: 15 + -9 = 6
6 + 6x + -1x2 = (2x + 3)(2x + 3) + -5x(x + -1) + -7x

Reorder the terms:
6 + 6x + -1x2 = (3 + 2x)(2x + 3) + -5x(x + -1) + -7x

Reorder the terms:
6 + 6x + -1x2 = (3 + 2x)(3 + 2x) + -5x(x + -1) + -7x

Multiply (3 + 2x) * (3 + 2x)
6 + 6x + -1x2 = (3(3 + 2x) + 2x * (3 + 2x)) + -5x(x + -1) + -7x
6 + 6x + -1x2 = ((3 * 3 + 2x * 3) + 2x * (3 + 2x)) + -5x(x + -1) + -7x
6 + 6x + -1x2 = ((9 + 6x) + 2x * (3 + 2x)) + -5x(x + -1) + -7x
6 + 6x + -1x2 = (9 + 6x + (3 * 2x + 2x * 2x)) + -5x(x + -1) + -7x
6 + 6x + -1x2 = (9 + 6x + (6x + 4x2)) + -5x(x + -1) + -7x

Combine like terms: 6x + 6x = 12x
6 + 6x + -1x2 = (9 + 12x + 4x2) + -5x(x + -1) + -7x

Reorder the terms:
6 + 6x + -1x2 = 9 + 12x + 4x2 + -5x(-1 + x) + -7x
6 + 6x + -1x2 = 9 + 12x + 4x2 + (-1 * -5x + x * -5x) + -7x
6 + 6x + -1x2 = 9 + 12x + 4x2 + (5x + -5x2) + -7x

Reorder the terms:
6 + 6x + -1x2 = 9 + 12x + 5x + -7x + 4x2 + -5x2

Combine like terms: 12x + 5x = 17x
6 + 6x + -1x2 = 9 + 17x + -7x + 4x2 + -5x2

Combine like terms: 17x + -7x = 10x
6 + 6x + -1x2 = 9 + 10x + 4x2 + -5x2

Combine like terms: 4x2 + -5x2 = -1x2
6 + 6x + -1x2 = 9 + 10x + -1x2

Add 'x2' to each side of the equation.
6 + 6x + -1x2 + x2 = 9 + 10x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + 6x + 0 = 9 + 10x + -1x2 + x2
6 + 6x = 9 + 10x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + 6x = 9 + 10x + 0
6 + 6x = 9 + 10x

Solving
6 + 6x = 9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 6x + -10x = 9 + 10x + -10x

Combine like terms: 6x + -10x = -4x
6 + -4x = 9 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -4x = 9 + 0
6 + -4x = 9

Add '-6' to each side of the equation.
6 + -6 + -4x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 9 + -6
-4x = 9 + -6

Combine like terms: 9 + -6 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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