(2x^2)=(-15x)-25

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Solution for (2x^2)=(-15x)-25 equation:


Simplifying
(2x2) = (-15x) + -25

Reorder the terms:
(2x2) = -25 + (-15x)

Solving
(2x2) = -25 + (-15x)

Solving for variable 'x'.

Reorder the terms:
25 + (15x) + (2x2) = -25 + (-15x) + 25 + (15x)

Reorder the terms:
25 + (15x) + (2x2) = -25 + 25 + (-15x) + (15x)

Combine like terms: -25 + 25 = 0
25 + (15x) + (2x2) = 0 + (-15x) + (15x)
25 + (15x) + (2x2) = (-15x) + (15x)

Combine like terms: (-15x) + (15x) = 0
25 + (15x) + (2x2) = 0

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

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

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 = {-5, -2.5}

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