2x^2+5x=-15-6x

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Solution for 2x^2+5x=-15-6x equation:


Simplifying
2x2 + 5x = -15 + -6x

Reorder the terms:
5x + 2x2 = -15 + -6x

Solving
5x + 2x2 = -15 + -6x

Solving for variable 'x'.

Reorder the terms:
15 + 5x + 6x + 2x2 = -15 + -6x + 15 + 6x

Combine like terms: 5x + 6x = 11x
15 + 11x + 2x2 = -15 + -6x + 15 + 6x

Reorder the terms:
15 + 11x + 2x2 = -15 + 15 + -6x + 6x

Combine like terms: -15 + 15 = 0
15 + 11x + 2x2 = 0 + -6x + 6x
15 + 11x + 2x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 11x + 2x2 = 0

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

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Solution

x = {-3, -2.5}

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