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Simplifying 8x8 + 38x5 + -10x2 = 0 Reorder the terms: -10x2 + 38x5 + 8x8 = 0 Solving -10x2 + 38x5 + 8x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-5 + 19x3 + 4x6) = 0 Factor a trinomial. 2x2((-5 + -1x3)(1 + -4x3)) = 0 Ignore the factor 2.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 '(-5 + -1x3)' equal to zero and attempt to solve: Simplifying -5 + -1x3 = 0 Solving -5 + -1x3 = 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 + -1x3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x3 = 0 + 5 -1x3 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x3 = 5 Divide each side by '-1'. x3 = -5 Simplifying x3 = -5 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 + -4x3)' equal to zero and attempt to solve: Simplifying 1 + -4x3 = 0 Solving 1 + -4x3 = 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 + -4x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x3 = 0 + -1 -4x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x3 = -1 Divide each side by '-4'. x3 = 0.25 Simplifying x3 = 0.25 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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