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Simplifying 2(x * 6) * 7(3x + -10) = 0 Reorder the terms for easier multiplication: 2(6x) * 7(3x + -10) = 0 Remove parenthesis around (6x) 2 * 6x * 7(3x + -10) = 0 Reorder the terms: 2 * 6x * 7(-10 + 3x) = 0 Reorder the terms for easier multiplication: 2 * 6 * 7x(-10 + 3x) = 0 Multiply 2 * 6 12 * 7x(-10 + 3x) = 0 Multiply 12 * 7 84x(-10 + 3x) = 0 (-10 * 84x + 3x * 84x) = 0 (-840x + 252x2) = 0 Solving -840x + 252x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '84x'. 84x(-10 + 3x) = 0 Ignore the factor 84.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 + 3x)' equal to zero and attempt to solve: Simplifying -10 + 3x = 0 Solving -10 + 3x = 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 + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 0 + 10 3x = 0 + 10 Combine like terms: 0 + 10 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {0, 3.333333333}
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