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Simplifying 100x + x = 3x2 Combine like terms: 100x + x = 101x 101x = 3x2 Solving 101x = 3x2 Solving for variable 'x'. Combine like terms: 3x2 + -3x2 = 0 101x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(101 + -3x) = 0Subproblem 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 '(101 + -3x)' equal to zero and attempt to solve: Simplifying 101 + -3x = 0 Solving 101 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + -3x = 0 + -101 Combine like terms: 101 + -101 = 0 0 + -3x = 0 + -101 -3x = 0 + -101 Combine like terms: 0 + -101 = -101 -3x = -101 Divide each side by '-3'. x = 33.66666667 Simplifying x = 33.66666667Solution
x = {0, 33.66666667}
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