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Simplifying 15x2 = 40(x + 2) Reorder the terms: 15x2 = 40(2 + x) 15x2 = (2 * 40 + x * 40) 15x2 = (80 + 40x) Solving 15x2 = 80 + 40x Solving for variable 'x'. Reorder the terms: -80 + -40x + 15x2 = 80 + 40x + -80 + -40x Reorder the terms: -80 + -40x + 15x2 = 80 + -80 + 40x + -40x Combine like terms: 80 + -80 = 0 -80 + -40x + 15x2 = 0 + 40x + -40x -80 + -40x + 15x2 = 40x + -40x Combine like terms: 40x + -40x = 0 -80 + -40x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-16 + -8x + 3x2) = 0 Factor a trinomial. 5((-4 + -3x)(4 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1.333333333, 4}
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