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Simplifying 3x(x + 10) = 6x2 Reorder the terms: 3x(10 + x) = 6x2 (10 * 3x + x * 3x) = 6x2 (30x + 3x2) = 6x2 Solving 30x + 3x2 = 6x2 Solving for variable 'x'. Combine like terms: 3x2 + -6x2 = -3x2 30x + -3x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 30x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {0, 10}
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