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Simplifying 0 = (-1x2) + 7x Reorder the terms: 0 = 7x + (-1x2) Solving 0 = 7x + (-1x2) Solving for variable 'x'. 0 + -7x + x2 = 7x + (-1x2) + -7x + (x2) Remove the zero: -7x + x2 = 7x + (-1x2) + -7x + (x2) -7x + x2 = 7x + (-1x2) + -7x + x2 Reorder the terms: -7x + x2 = 7x + -7x + (-1x2) + x2 Combine like terms: 7x + -7x = 0 -7x + x2 = 0 + (-1x2) + x2 -7x + x2 = (-1x2) + x2 Combine like terms: (-1x2) + x2 = 0 -7x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Solution
x = {0, 7}
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