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Simplifying 5x + -3 + -1(25x2 + -9) = 0 Reorder the terms: 5x + -3 + -1(-9 + 25x2) = 0 5x + -3 + (-9 * -1 + 25x2 * -1) = 0 5x + -3 + (9 + -25x2) = 0 Reorder the terms: -3 + 9 + 5x + -25x2 = 0 Combine like terms: -3 + 9 = 6 6 + 5x + -25x2 = 0 Solving 6 + 5x + -25x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(2 + 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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {0.6, -0.4}
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