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Simplifying (7x5) + -1(70x4) + (175x3) = 0 Remove parenthesis around (70x4) (7x5) + -1 * 70x4 + (175x3) = 0 Multiply -1 * 70 (7x5) + -70x4 + (175x3) = 0 Reorder the terms: (175x3) + -70x4 + (7x5) = 0 Solving (175x3) + -70x4 + (7x5) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x3'. 7x3(25 + -10x + x2) = 0 Factor a trinomial. 7x3((5 + -1x)(5 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {5, 5}
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