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Simplifying (10x5 + -1x4) + -1(4x5 + 3x4) = 0 Reorder the terms: (-1x4 + 10x5) + -1(4x5 + 3x4) = 0 Remove parenthesis around (-1x4 + 10x5) -1x4 + 10x5 + -1(4x5 + 3x4) = 0 Reorder the terms: -1x4 + 10x5 + -1(3x4 + 4x5) = 0 -1x4 + 10x5 + (3x4 * -1 + 4x5 * -1) = 0 -1x4 + 10x5 + (-3x4 + -4x5) = 0 Reorder the terms: -1x4 + -3x4 + 10x5 + -4x5 = 0 Combine like terms: -1x4 + -3x4 = -4x4 -4x4 + 10x5 + -4x5 = 0 Combine like terms: 10x5 + -4x5 = 6x5 -4x4 + 6x5 = 0 Solving -4x4 + 6x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x4'. 2x4(-2 + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 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 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667}
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