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Simplifying 70x = 175x(14 + -1x) 70x = (14 * 175x + -1x * 175x) 70x = (2450x + -175x2) Solving 70x = 2450x + -175x2 Solving for variable 'x'. Combine like terms: 70x + -2450x = -2380x -2380x + 175x2 = 2450x + -175x2 + -2450x + 175x2 Reorder the terms: -2380x + 175x2 = 2450x + -2450x + -175x2 + 175x2 Combine like terms: 2450x + -2450x = 0 -2380x + 175x2 = 0 + -175x2 + 175x2 -2380x + 175x2 = -175x2 + 175x2 Combine like terms: -175x2 + 175x2 = 0 -2380x + 175x2 = 0 Factor out the Greatest Common Factor (GCF), '35x'. 35x(-68 + 5x) = 0 Ignore the factor 35.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 '(-68 + 5x)' equal to zero and attempt to solve: Simplifying -68 + 5x = 0 Solving -68 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 5x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + 5x = 0 + 68 5x = 0 + 68 Combine like terms: 0 + 68 = 68 5x = 68 Divide each side by '5'. x = 13.6 Simplifying x = 13.6Solution
x = {0, 13.6}
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