2(x+1)=-5x+2(x^2-1)

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Solution for 2(x+1)=-5x+2(x^2-1) equation: 


Simplifying
2(x + 1) = -5x + 2(x2 + -1)

Reorder the terms:
2(1 + x) = -5x + 2(x2 + -1)
(1 * 2 + x * 2) = -5x + 2(x2 + -1)
(2 + 2x) = -5x + 2(x2 + -1)

Reorder the terms:
2 + 2x = -5x + 2(-1 + x2)
2 + 2x = -5x + (-1 * 2 + x2 * 2)
2 + 2x = -5x + (-2 + 2x2)

Reorder the terms:
2 + 2x = -2 + -5x + 2x2

Solving
2 + 2x = -2 + -5x + 2x2

Solving for variable 'x'.

Reorder the terms:
2 + 2 + 2x + 5x + -2x2 = -2 + -5x + 2x2 + 2 + 5x + -2x2

Combine like terms: 2 + 2 = 4
4 + 2x + 5x + -2x2 = -2 + -5x + 2x2 + 2 + 5x + -2x2

Combine like terms: 2x + 5x = 7x
4 + 7x + -2x2 = -2 + -5x + 2x2 + 2 + 5x + -2x2

Reorder the terms:
4 + 7x + -2x2 = -2 + 2 + -5x + 5x + 2x2 + -2x2

Combine like terms: -2 + 2 = 0
4 + 7x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2
4 + 7x + -2x2 = -5x + 5x + 2x2 + -2x2

Combine like terms: -5x + 5x = 0
4 + 7x + -2x2 = 0 + 2x2 + -2x2
4 + 7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + 7x + -2x2 = 0

Factor a trinomial.
(4 + -1x)(1 + 2x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {4, -0.5}

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