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Simplifying 3(x3 + 4x4) = -2(3x4 + -5x4) (x3 * 3 + 4x4 * 3) = -2(3x4 + -5x4) (3x3 + 12x4) = -2(3x4 + -5x4) Combine like terms: 3x4 + -5x4 = -2x4 3x3 + 12x4 = -2(-2x4) Remove parenthesis around (-2x4) 3x3 + 12x4 = -2 * -2x4 Multiply -2 * -2 3x3 + 12x4 = 4x4 Solving 3x3 + 12x4 = 4x4 Solving for variable 'x'. Combine like terms: 12x4 + -4x4 = 8x4 3x3 + 8x4 = 4x4 + -4x4 Combine like terms: 4x4 + -4x4 = 0 3x3 + 8x4 = 0 Factor out the Greatest Common Factor (GCF), 'x3'. x3(3 + 8x) = 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 '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {-0.375}
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