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Simplifying 15x2 + 20 = 40x Reorder the terms: 20 + 15x2 = 40x Solving 20 + 15x2 = 40x Solving for variable 'x'. Reorder the terms: 20 + -40x + 15x2 = 40x + -40x Combine like terms: 40x + -40x = 0 20 + -40x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(4 + -8x + 3x2) = 0 Factor a trinomial. 5((2 + -3x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.6666666667, 2}
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