5x^2+18x=-32-8x

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Solution for 5x^2+18x=-32-8x equation:


Simplifying
5x2 + 18x = -32 + -8x

Reorder the terms:
18x + 5x2 = -32 + -8x

Solving
18x + 5x2 = -32 + -8x

Solving for variable 'x'.

Reorder the terms:
32 + 18x + 8x + 5x2 = -32 + -8x + 32 + 8x

Combine like terms: 18x + 8x = 26x
32 + 26x + 5x2 = -32 + -8x + 32 + 8x

Reorder the terms:
32 + 26x + 5x2 = -32 + 32 + -8x + 8x

Combine like terms: -32 + 32 = 0
32 + 26x + 5x2 = 0 + -8x + 8x
32 + 26x + 5x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
32 + 26x + 5x2 = 0

Factor a trinomial.
(16 + 5x)(2 + x) = 0

Subproblem 1

Set the factor '(16 + 5x)' equal to zero and attempt to solve: Simplifying 16 + 5x = 0 Solving 16 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 0 + -16 5x = 0 + -16 Combine like terms: 0 + -16 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-3.2, -2}

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