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Simplifying 7000 = 35x2 + -3640x + 7000 Reorder the terms: 7000 = 7000 + -3640x + 35x2 Add '-7000' to each side of the equation. 7000 + -7000 = 7000 + -3640x + -7000 + 35x2 Combine like terms: 7000 + -7000 = 0 0 = 7000 + -3640x + -7000 + 35x2 Reorder the terms: 0 = 7000 + -7000 + -3640x + 35x2 Combine like terms: 7000 + -7000 = 0 0 = 0 + -3640x + 35x2 0 = -3640x + 35x2 Solving 0 = -3640x + 35x2 Solving for variable 'x'. Remove the zero: 3640x + -35x2 = -3640x + 35x2 + 3640x + -35x2 Reorder the terms: 3640x + -35x2 = -3640x + 3640x + 35x2 + -35x2 Combine like terms: -3640x + 3640x = 0 3640x + -35x2 = 0 + 35x2 + -35x2 3640x + -35x2 = 35x2 + -35x2 Combine like terms: 35x2 + -35x2 = 0 3640x + -35x2 = 0 Factor out the Greatest Common Factor (GCF), '35x'. 35x(104 + -1x) = 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 '(104 + -1x)' equal to zero and attempt to solve: Simplifying 104 + -1x = 0 Solving 104 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + -1x = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -1x = 0 + -104 -1x = 0 + -104 Combine like terms: 0 + -104 = -104 -1x = -104 Divide each side by '-1'. x = 104 Simplifying x = 104Solution
x = {0, 104}
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