(x+1)(x+8)-(-2x-1)(x-7)=

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Solution for (x+1)(x+8)-(-2x-1)(x-7)= equation: 


Simplifying
(x + 1)(x + 8) + -1(-2x + -1)(x + -7) = 0

Reorder the terms:
(1 + x)(x + 8) + -1(-2x + -1)(x + -7) = 0

Reorder the terms:
(1 + x)(8 + x) + -1(-2x + -1)(x + -7) = 0

Multiply (1 + x) * (8 + x)
(1(8 + x) + x(8 + x)) + -1(-2x + -1)(x + -7) = 0
((8 * 1 + x * 1) + x(8 + x)) + -1(-2x + -1)(x + -7) = 0
((8 + 1x) + x(8 + x)) + -1(-2x + -1)(x + -7) = 0
(8 + 1x + (8 * x + x * x)) + -1(-2x + -1)(x + -7) = 0
(8 + 1x + (8x + x2)) + -1(-2x + -1)(x + -7) = 0

Combine like terms: 1x + 8x = 9x
(8 + 9x + x2) + -1(-2x + -1)(x + -7) = 0

Reorder the terms:
8 + 9x + x2 + -1(-1 + -2x)(x + -7) = 0

Reorder the terms:
8 + 9x + x2 + -1(-1 + -2x)(-7 + x) = 0

Multiply (-1 + -2x) * (-7 + x)
8 + 9x + x2 + -1(-1(-7 + x) + -2x * (-7 + x)) = 0
8 + 9x + x2 + -1((-7 * -1 + x * -1) + -2x * (-7 + x)) = 0
8 + 9x + x2 + -1((7 + -1x) + -2x * (-7 + x)) = 0
8 + 9x + x2 + -1(7 + -1x + (-7 * -2x + x * -2x)) = 0
8 + 9x + x2 + -1(7 + -1x + (14x + -2x2)) = 0

Combine like terms: -1x + 14x = 13x
8 + 9x + x2 + -1(7 + 13x + -2x2) = 0
8 + 9x + x2 + (7 * -1 + 13x * -1 + -2x2 * -1) = 0
8 + 9x + x2 + (-7 + -13x + 2x2) = 0

Reorder the terms:
8 + -7 + 9x + -13x + x2 + 2x2 = 0

Combine like terms: 8 + -7 = 1
1 + 9x + -13x + x2 + 2x2 = 0

Combine like terms: 9x + -13x = -4x
1 + -4x + x2 + 2x2 = 0

Combine like terms: x2 + 2x2 = 3x2
1 + -4x + 3x2 = 0

Solving
1 + -4x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(1 + -1x) = 0


Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.3333333333, 1}

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