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Simplifying 6x * 50 = 2x2 Reorder the terms for easier multiplication: 6 * 50x = 2x2 Multiply 6 * 50 300x = 2x2 Solving 300x = 2x2 Solving for variable 'x'. Combine like terms: 2x2 + -2x2 = 0 300x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(150 + -1x) = 0 Ignore the factor 2.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 '(150 + -1x)' equal to zero and attempt to solve: Simplifying 150 + -1x = 0 Solving 150 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -1x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -1x = 0 + -150 -1x = 0 + -150 Combine like terms: 0 + -150 = -150 -1x = -150 Divide each side by '-1'. x = 150 Simplifying x = 150Solution
x = {0, 150}
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