81x^2+90x=-25

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Solution for 81x^2+90x=-25 equation:


Simplifying
81x2 + 90x = -25

Reorder the terms:
90x + 81x2 = -25

Solving
90x + 81x2 = -25

Solving for variable 'x'.

Reorder the terms:
25 + 90x + 81x2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 90x + 81x2 = 0

Factor a trinomial.
(5 + 9x)(5 + 9x) = 0

Subproblem 1

Set the factor '(5 + 9x)' equal to zero and attempt to solve: Simplifying 5 + 9x = 0 Solving 5 + 9x = 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 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556

Subproblem 2

Set the factor '(5 + 9x)' equal to zero and attempt to solve: Simplifying 5 + 9x = 0 Solving 5 + 9x = 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 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556

Solution

x = {-0.5555555556, -0.5555555556}

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