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Simplifying 10x10 + -19x9 + 6x8 = 0 Reorder the terms: 6x8 + -19x9 + 10x10 = 0 Solving 6x8 + -19x9 + 10x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x8'. x8(6 + -19x + 10x2) = 0 Factor a trinomial. x8((2 + -5x)(3 + -2x)) = 0Subproblem 1
Set the factor 'x8' equal to zero and attempt to solve: Simplifying x8 = 0 Solving x8 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x8 = 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 3
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.4, 1.5}
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