25x^2-2x+36=-62x

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Solution for 25x^2-2x+36=-62x equation:


Simplifying
25x2 + -2x + 36 = -62x

Reorder the terms:
36 + -2x + 25x2 = -62x

Solving
36 + -2x + 25x2 = -62x

Solving for variable 'x'.

Reorder the terms:
36 + -2x + 62x + 25x2 = -62x + 62x

Combine like terms: -2x + 62x = 60x
36 + 60x + 25x2 = -62x + 62x

Combine like terms: -62x + 62x = 0
36 + 60x + 25x2 = 0

Factor a trinomial.
(6 + 5x)(6 + 5x) = 0

Subproblem 1

Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2

Subproblem 2

Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2

Solution

x = {-1.2, -1.2}

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