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Simplifying -16x4 + -32x3 + -80x3 = 0 Reorder the terms: -32x3 + -80x3 + -16x4 = 0 Combine like terms: -32x3 + -80x3 = -112x3 -112x3 + -16x4 = 0 Solving -112x3 + -16x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-16x3'. -16x3(7 + x) = 0 Ignore the factor -16.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.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 = {-7}
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