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Simplifying 50x2 + 50 = -145x Reorder the terms: 50 + 50x2 = -145x Solving 50 + 50x2 = -145x Solving for variable 'x'. Reorder the terms: 50 + 145x + 50x2 = -145x + 145x Combine like terms: -145x + 145x = 0 50 + 145x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(10 + 29x + 10x2) = 0 Factor a trinomial. 5((5 + 2x)(2 + 5x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = {-2.5, -0.4}
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