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Simplifying 25x2 + -4x + 9 = -34x Reorder the terms: 9 + -4x + 25x2 = -34x Solving 9 + -4x + 25x2 = -34x Solving for variable 'x'. Reorder the terms: 9 + -4x + 34x + 25x2 = -34x + 34x Combine like terms: -4x + 34x = 30x 9 + 30x + 25x2 = -34x + 34x Combine like terms: -34x + 34x = 0 9 + 30x + 25x2 = 0 Factor a trinomial. (3 + 5x)(3 + 5x) = 0Subproblem 1
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-0.6, -0.6}
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