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Simplifying (24x + 18x) * 3 = 6x(7x) Combine like terms: 24x + 18x = 42x (42x) * 3 = 6x(7x) Remove parenthesis around (42x) 42x * 3 = 6x(7x) Reorder the terms for easier multiplication: 42 * 3x = 6x(7x) Multiply 42 * 3 126x = 6x(7x) Remove parenthesis around (7x) 126x = 6x * 7x Reorder the terms for easier multiplication: 126x = 6 * 7x * x Multiply 6 * 7 126x = 42x * x Multiply x * x 126x = 42x2 Solving 126x = 42x2 Solving for variable 'x'. Combine like terms: 42x2 + -42x2 = 0 126x + -42x2 = 0 Factor out the Greatest Common Factor (GCF), '42x'. 42x(3 + -1x) = 0 Ignore the factor 42.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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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