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Simplifying 100x = 6x2 + 4x Reorder the terms: 100x = 4x + 6x2 Solving 100x = 4x + 6x2 Solving for variable 'x'. Combine like terms: 100x + -4x = 96x 96x + -6x2 = 4x + 6x2 + -4x + -6x2 Reorder the terms: 96x + -6x2 = 4x + -4x + 6x2 + -6x2 Combine like terms: 4x + -4x = 0 96x + -6x2 = 0 + 6x2 + -6x2 96x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 96x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(16 + -1x) = 0 Ignore the factor 6.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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {0, 16}
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