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Simplifying 17 = x3 + -6x2 + 17 Reorder the terms: 17 = 17 + -6x2 + x3 Add '-17' to each side of the equation. 17 + -17 = 17 + -6x2 + -17 + x3 Combine like terms: 17 + -17 = 0 0 = 17 + -6x2 + -17 + x3 Reorder the terms: 0 = 17 + -17 + -6x2 + x3 Combine like terms: 17 + -17 = 0 0 = 0 + -6x2 + x3 0 = -6x2 + x3 Solving 0 = -6x2 + x3 Solving for variable 'x'. Remove the zero: 6x2 + -1x3 = -6x2 + x3 + 6x2 + -1x3 Reorder the terms: 6x2 + -1x3 = -6x2 + 6x2 + x3 + -1x3 Combine like terms: -6x2 + 6x2 = 0 6x2 + -1x3 = 0 + x3 + -1x3 6x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 6x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(6 + -1x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, 6}
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