-5-x=2x(4x+6)

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Solution for -5-x=2x(4x+6) equation:


Simplifying
-5 + -1x = 2x(4x + 6)

Reorder the terms:
-5 + -1x = 2x(6 + 4x)
-5 + -1x = (6 * 2x + 4x * 2x)
-5 + -1x = (12x + 8x2)

Solving
-5 + -1x = 12x + 8x2

Solving for variable 'x'.

Combine like terms: -1x + -12x = -13x
-5 + -13x + -8x2 = 12x + 8x2 + -12x + -8x2

Reorder the terms:
-5 + -13x + -8x2 = 12x + -12x + 8x2 + -8x2

Combine like terms: 12x + -12x = 0
-5 + -13x + -8x2 = 0 + 8x2 + -8x2
-5 + -13x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-5 + -13x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 13x + 8x2) = 0

Factor a trinomial.
-1((1 + x)(5 + 8x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625

Solution

x = {-1, -0.625}

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