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Simplifying 0 = 70x + -1x2 Solving 0 = 70x + -1x2 Solving for variable 'x'. Remove the zero: -70x + x2 = 70x + -1x2 + -70x + x2 Reorder the terms: -70x + x2 = 70x + -70x + -1x2 + x2 Combine like terms: 70x + -70x = 0 -70x + x2 = 0 + -1x2 + x2 -70x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -70x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-70 + x) = 0Subproblem 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 '(-70 + x)' equal to zero and attempt to solve: Simplifying -70 + x = 0 Solving -70 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + x = 0 + 70 x = 0 + 70 Combine like terms: 0 + 70 = 70 x = 70 Simplifying x = 70Solution
x = {0, 70}
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