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Simplifying 3x12 + 48x7 + -51x2 = 0 Reorder the terms: -51x2 + 48x7 + 3x12 = 0 Solving -51x2 + 48x7 + 3x12 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-17 + 16x5 + x10) = 0 Factor a trinomial. 3x2((-17 + -1x5)(1 + -1x5)) = 0 Ignore the factor 3.Subproblem 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 '(-17 + -1x5)' equal to zero and attempt to solve: Simplifying -17 + -1x5 = 0 Solving -17 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x5 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x5 = 0 + 17 -1x5 = 0 + 17 Combine like terms: 0 + 17 = 17 -1x5 = 17 Divide each side by '-1'. x5 = -17 Simplifying x5 = -17 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1x5)' equal to zero and attempt to solve: Simplifying 1 + -1x5 = 0 Solving 1 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x5 = 0 + -1 -1x5 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x5 = -1 Divide each side by '-1'. x5 = 1 Simplifying x5 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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