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Simplifying (-16x2) + 112x + 480 = 480 Reorder the terms: 480 + 112x + (-16x2) = 480 Add '-480' to each side of the equation. 480 + 112x + -480 + (-16x2) = 480 + -480 Reorder the terms: 480 + -480 + 112x + (-16x2) = 480 + -480 Combine like terms: 480 + -480 = 0 0 + 112x + (-16x2) = 480 + -480 112x + (-16x2) = 480 + -480 Combine like terms: 480 + -480 = 0 112x + (-16x2) = 0 Solving 112x + (-16x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16x'. 16x(7 + (-1x)) = 0 Ignore the factor 16.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 + (-1x))' equal to zero and attempt to solve: Simplifying 7 + (-1x) = 0 Solving 7 + (-1x) = 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 + (-1x) = 0 + -7 Combine like terms: 7 + -7 = 0 0 + (-1x) = 0 + -7 (-1x) = 0 + -7 Combine like terms: 0 + -7 = -7 (-1x) = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, 7}
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