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Simplifying 0 = x(7 + x) 0 = (7 * x + x * x) 0 = (7x + x2) Solving 0 = 7x + x2 Solving for variable 'x'. Remove the zero: -7x + -1x2 = 7x + x2 + -7x + -1x2 Reorder the terms: -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 -7x + -1x2 = 0 + x2 + -1x2 -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(7 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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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