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Simplifying 1500 = 4x2 + 40x Reorder the terms: 1500 = 40x + 4x2 Solving 1500 = 40x + 4x2 Solving for variable 'x'. Reorder the terms: 1500 + -40x + -4x2 = 40x + -40x + 4x2 + -4x2 Combine like terms: 40x + -40x = 0 1500 + -40x + -4x2 = 0 + 4x2 + -4x2 1500 + -40x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 1500 + -40x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(375 + -10x + -1x2) = 0 Factor a trinomial. 4((15 + -1x)(25 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {15, -25}
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