x^2+4x+4-(x+3)(x-3)=6(x+4)-15

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Solution for x^2+4x+4-(x+3)(x-3)=6(x+4)-15 equation:


Simplifying
x2 + 4x + 4 + -1(x + 3)(x + -3) = 6(x + 4) + -15

Reorder the terms:
x2 + 4x + 4 + -1(3 + x)(x + -3) = 6(x + 4) + -15

Reorder the terms:
x2 + 4x + 4 + -1(3 + x)(-3 + x) = 6(x + 4) + -15

Multiply (3 + x) * (-3 + x)
x2 + 4x + 4 + -1(3(-3 + x) + x(-3 + x)) = 6(x + 4) + -15
x2 + 4x + 4 + -1((-3 * 3 + x * 3) + x(-3 + x)) = 6(x + 4) + -15
x2 + 4x + 4 + -1((-9 + 3x) + x(-3 + x)) = 6(x + 4) + -15
x2 + 4x + 4 + -1(-9 + 3x + (-3 * x + x * x)) = 6(x + 4) + -15
x2 + 4x + 4 + -1(-9 + 3x + (-3x + x2)) = 6(x + 4) + -15

Combine like terms: 3x + -3x = 0
x2 + 4x + 4 + -1(-9 + 0 + x2) = 6(x + 4) + -15
x2 + 4x + 4 + -1(-9 + x2) = 6(x + 4) + -15
x2 + 4x + 4 + (-9 * -1 + x2 * -1) = 6(x + 4) + -15
x2 + 4x + 4 + (9 + -1x2) = 6(x + 4) + -15

Reorder the terms:
4 + 9 + 4x + x2 + -1x2 = 6(x + 4) + -15

Combine like terms: 4 + 9 = 13
13 + 4x + x2 + -1x2 = 6(x + 4) + -15

Combine like terms: x2 + -1x2 = 0
13 + 4x + 0 = 6(x + 4) + -15
13 + 4x = 6(x + 4) + -15

Reorder the terms:
13 + 4x = 6(4 + x) + -15
13 + 4x = (4 * 6 + x * 6) + -15
13 + 4x = (24 + 6x) + -15

Reorder the terms:
13 + 4x = 24 + -15 + 6x

Combine like terms: 24 + -15 = 9
13 + 4x = 9 + 6x

Solving
13 + 4x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + 4x + -6x = 9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
13 + -2x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -2x = 9 + 0
13 + -2x = 9

Add '-13' to each side of the equation.
13 + -13 + -2x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 9 + -13
-2x = 9 + -13

Combine like terms: 9 + -13 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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