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Simplifying 15 = 10x2 + 25x Reorder the terms: 15 = 25x + 10x2 Solving 15 = 25x + 10x2 Solving for variable 'x'. Reorder the terms: 15 + -25x + -10x2 = 25x + -25x + 10x2 + -10x2 Combine like terms: 25x + -25x = 0 15 + -25x + -10x2 = 0 + 10x2 + -10x2 15 + -25x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 15 + -25x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(3 + -5x + -2x2) = 0 Factor a trinomial. 5((1 + -2x)(3 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.5, -3}
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