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Simplifying (-1x4 + 13x5 + 6x3) + -1(6x3 + 5x5 + 7x4) = 0 Reorder the terms: (6x3 + -1x4 + 13x5) + -1(6x3 + 5x5 + 7x4) = 0 Remove parenthesis around (6x3 + -1x4 + 13x5) 6x3 + -1x4 + 13x5 + -1(6x3 + 5x5 + 7x4) = 0 Reorder the terms: 6x3 + -1x4 + 13x5 + -1(6x3 + 7x4 + 5x5) = 0 6x3 + -1x4 + 13x5 + (6x3 * -1 + 7x4 * -1 + 5x5 * -1) = 0 6x3 + -1x4 + 13x5 + (-6x3 + -7x4 + -5x5) = 0 Reorder the terms: 6x3 + -6x3 + -1x4 + -7x4 + 13x5 + -5x5 = 0 Combine like terms: 6x3 + -6x3 = 0 0 + -1x4 + -7x4 + 13x5 + -5x5 = 0 -1x4 + -7x4 + 13x5 + -5x5 = 0 Combine like terms: -1x4 + -7x4 = -8x4 -8x4 + 13x5 + -5x5 = 0 Combine like terms: 13x5 + -5x5 = 8x5 -8x4 + 8x5 = 0 Solving -8x4 + 8x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x4'. 8x4(-1 + x) = 0 Ignore the factor 8.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {1}
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