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Simplifying 0 = -1x3 + 15x2 Reorder the terms: 0 = 15x2 + -1x3 Solving 0 = 15x2 + -1x3 Solving for variable 'x'. Remove the zero: -15x2 + x3 = 15x2 + -1x3 + -15x2 + x3 Reorder the terms: -15x2 + x3 = 15x2 + -15x2 + -1x3 + x3 Combine like terms: 15x2 + -15x2 = 0 -15x2 + x3 = 0 + -1x3 + x3 -15x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -15x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-15 + x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 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 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15Solution
x = {0, 15}
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