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Simplifying 0 = (5x5 + 3x4)(4x) Reorder the terms: 0 = (3x4 + 5x5)(4x) Remove parenthesis around (4x) 0 = (3x4 + 5x5) * 4x Reorder the terms for easier multiplication: 0 = 4x(3x4 + 5x5) 0 = (3x4 * 4x + 5x5 * 4x) 0 = (12x5 + 20x6) Solving 0 = 12x5 + 20x6 Solving for variable 'x'. Remove the zero: -12x5 + -20x6 = 12x5 + 20x6 + -12x5 + -20x6 Reorder the terms: -12x5 + -20x6 = 12x5 + -12x5 + 20x6 + -20x6 Combine like terms: 12x5 + -12x5 = 0 -12x5 + -20x6 = 0 + 20x6 + -20x6 -12x5 + -20x6 = 20x6 + -20x6 Combine like terms: 20x6 + -20x6 = 0 -12x5 + -20x6 = 0 Factor out the Greatest Common Factor (GCF), '-4x5'. -4x5(3 + 5x) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-0.6}
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