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Simplifying 3x(15 + -1x) = 150 (15 * 3x + -1x * 3x) = 150 (45x + -3x2) = 150 Solving 45x + -3x2 = 150 Solving for variable 'x'. Reorder the terms: -150 + 45x + -3x2 = 150 + -150 Combine like terms: 150 + -150 = 0 -150 + 45x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-50 + 15x + -1x2) = 0 Factor a trinomial. 3((-10 + x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {10, 5}
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