x(2x+5)=-2

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


Simplifying
x(2x + 5) = -2

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

Solving
5x + 2x2 = -2

Solving for variable 'x'.

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

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

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

Subproblem 1

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

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 = {-2, -0.5}

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