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Simplifying 9x * 4x + -5x * 3 = 0 Reorder the terms for easier multiplication: 9 * 4x * x + -5x * 3 = 0 Multiply 9 * 4 36x * x + -5x * 3 = 0 Multiply x * x 36x2 + -5x * 3 = 0 Reorder the terms for easier multiplication: 36x2 + -5 * 3x = 0 Multiply -5 * 3 36x2 + -15x = 0 Reorder the terms: -15x + 36x2 = 0 Solving -15x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-5 + 12x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-5 + 12x)' equal to zero and attempt to solve: Simplifying -5 + 12x = 0 Solving -5 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 0 + 5 12x = 0 + 5 Combine like terms: 0 + 5 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667Solution
x = {0, 0.4166666667}
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