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Simplifying (4x3 + 3x4) + -1(x4 + -5x3) = 0 Remove parenthesis around (4x3 + 3x4) 4x3 + 3x4 + -1(x4 + -5x3) = 0 Reorder the terms: 4x3 + 3x4 + -1(-5x3 + x4) = 0 4x3 + 3x4 + (-5x3 * -1 + x4 * -1) = 0 4x3 + 3x4 + (5x3 + -1x4) = 0 Reorder the terms: 4x3 + 5x3 + 3x4 + -1x4 = 0 Combine like terms: 4x3 + 5x3 = 9x3 9x3 + 3x4 + -1x4 = 0 Combine like terms: 3x4 + -1x4 = 2x4 9x3 + 2x4 = 0 Solving 9x3 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(9 + 2x) = 0Subproblem 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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {-4.5}
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