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Simplifying 0 = x3 + 7x2 Reorder the terms: 0 = 7x2 + x3 Solving 0 = 7x2 + x3 Solving for variable 'x'. Remove the zero: -7x2 + -1x3 = 7x2 + x3 + -7x2 + -1x3 Reorder the terms: -7x2 + -1x3 = 7x2 + -7x2 + x3 + -1x3 Combine like terms: 7x2 + -7x2 = 0 -7x2 + -1x3 = 0 + x3 + -1x3 -7x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -7x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(7 + x) = 0 Ignore the factor -1.Subproblem 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0, -7}
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