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Simplifying 15x2 = 50x + -35 Reorder the terms: 15x2 = -35 + 50x Solving 15x2 = -35 + 50x Solving for variable 'x'. Reorder the terms: 35 + -50x + 15x2 = -35 + 50x + 35 + -50x Reorder the terms: 35 + -50x + 15x2 = -35 + 35 + 50x + -50x Combine like terms: -35 + 35 = 0 35 + -50x + 15x2 = 0 + 50x + -50x 35 + -50x + 15x2 = 50x + -50x Combine like terms: 50x + -50x = 0 35 + -50x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(7 + -10x + 3x2) = 0 Factor a trinomial. 5((1 + -1x)(7 + -3x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {1, 2.333333333}
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