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Simplifying 100x + 50x = 3x2 Combine like terms: 100x + 50x = 150x 150x = 3x2 Solving 150x = 3x2 Solving for variable 'x'. Combine like terms: 3x2 + -3x2 = 0 150x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(50 + -1x) = 0 Ignore the factor 3.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 '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {0, 50}
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