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Simplifying 6x(7x + -35) = 0 Reorder the terms: 6x(-35 + 7x) = 0 (-35 * 6x + 7x * 6x) = 0 (-210x + 42x2) = 0 Solving -210x + 42x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '42x'. 42x(-5 + x) = 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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