(x-7)(2-x)+15=2-x(x+7)-15

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Solution for (x-7)(2-x)+15=2-x(x+7)-15 equation:


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

Reorder the terms:
(-7 + x)(2 + -1x) + 15 = 2 + -1x(x + 7) + -15

Multiply (-7 + x) * (2 + -1x)
(-7(2 + -1x) + x(2 + -1x)) + 15 = 2 + -1x(x + 7) + -15
((2 * -7 + -1x * -7) + x(2 + -1x)) + 15 = 2 + -1x(x + 7) + -15
((-14 + 7x) + x(2 + -1x)) + 15 = 2 + -1x(x + 7) + -15
(-14 + 7x + (2 * x + -1x * x)) + 15 = 2 + -1x(x + 7) + -15
(-14 + 7x + (2x + -1x2)) + 15 = 2 + -1x(x + 7) + -15

Combine like terms: 7x + 2x = 9x
(-14 + 9x + -1x2) + 15 = 2 + -1x(x + 7) + -15

Reorder the terms:
-14 + 15 + 9x + -1x2 = 2 + -1x(x + 7) + -15

Combine like terms: -14 + 15 = 1
1 + 9x + -1x2 = 2 + -1x(x + 7) + -15

Reorder the terms:
1 + 9x + -1x2 = 2 + -1x(7 + x) + -15
1 + 9x + -1x2 = 2 + (7 * -1x + x * -1x) + -15
1 + 9x + -1x2 = 2 + (-7x + -1x2) + -15

Reorder the terms:
1 + 9x + -1x2 = 2 + -15 + -7x + -1x2

Combine like terms: 2 + -15 = -13
1 + 9x + -1x2 = -13 + -7x + -1x2

Add 'x2' to each side of the equation.
1 + 9x + -1x2 + x2 = -13 + -7x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 9x + 0 = -13 + -7x + -1x2 + x2
1 + 9x = -13 + -7x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 9x = -13 + -7x + 0
1 + 9x = -13 + -7x

Solving
1 + 9x = -13 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
1 + 9x + 7x = -13 + -7x + 7x

Combine like terms: 9x + 7x = 16x
1 + 16x = -13 + -7x + 7x

Combine like terms: -7x + 7x = 0
1 + 16x = -13 + 0
1 + 16x = -13

Add '-1' to each side of the equation.
1 + -1 + 16x = -13 + -1

Combine like terms: 1 + -1 = 0
0 + 16x = -13 + -1
16x = -13 + -1

Combine like terms: -13 + -1 = -14
16x = -14

Divide each side by '16'.
x = -0.875

Simplifying
x = -0.875

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