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Simplifying -1x3(5x + 1) + 4x4 = 0 Reorder the terms: -1x3(1 + 5x) + 4x4 = 0 (1 * -1x3 + 5x * -1x3) + 4x4 = 0 (-1x3 + -5x4) + 4x4 = 0 Combine like terms: -5x4 + 4x4 = -1x4 -1x3 + -1x4 = 0 Solving -1x3 + -1x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x3'. -1x3(1 + x) = 0 Ignore the factor -1.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 '(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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