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Simplifying 41x2 + 62x + -7 = 5x2 + 2x + -32 Reorder the terms: -7 + 62x + 41x2 = 5x2 + 2x + -32 Reorder the terms: -7 + 62x + 41x2 = -32 + 2x + 5x2 Solving -7 + 62x + 41x2 = -32 + 2x + 5x2 Solving for variable 'x'. Reorder the terms: -7 + 32 + 62x + -2x + 41x2 + -5x2 = -32 + 2x + 5x2 + 32 + -2x + -5x2 Combine like terms: -7 + 32 = 25 25 + 62x + -2x + 41x2 + -5x2 = -32 + 2x + 5x2 + 32 + -2x + -5x2 Combine like terms: 62x + -2x = 60x 25 + 60x + 41x2 + -5x2 = -32 + 2x + 5x2 + 32 + -2x + -5x2 Combine like terms: 41x2 + -5x2 = 36x2 25 + 60x + 36x2 = -32 + 2x + 5x2 + 32 + -2x + -5x2 Reorder the terms: 25 + 60x + 36x2 = -32 + 32 + 2x + -2x + 5x2 + -5x2 Combine like terms: -32 + 32 = 0 25 + 60x + 36x2 = 0 + 2x + -2x + 5x2 + -5x2 25 + 60x + 36x2 = 2x + -2x + 5x2 + -5x2 Combine like terms: 2x + -2x = 0 25 + 60x + 36x2 = 0 + 5x2 + -5x2 25 + 60x + 36x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 25 + 60x + 36x2 = 0 Factor a trinomial. (5 + 6x)(5 + 6x) = 0Subproblem 1
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-0.8333333333, -0.8333333333}
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