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Simplifying 9x * 5x + -6x * 2 = 0 Reorder the terms for easier multiplication: 9 * 5x * x + -6x * 2 = 0 Multiply 9 * 5 45x * x + -6x * 2 = 0 Multiply x * x 45x2 + -6x * 2 = 0 Reorder the terms for easier multiplication: 45x2 + -6 * 2x = 0 Multiply -6 * 2 45x2 + -12x = 0 Reorder the terms: -12x + 45x2 = 0 Solving -12x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + 15x) = 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 '(-4 + 15x)' equal to zero and attempt to solve: Simplifying -4 + 15x = 0 Solving -4 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 15x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = 0 + 4 15x = 0 + 4 Combine like terms: 0 + 4 = 4 15x = 4 Divide each side by '15'. x = 0.2666666667 Simplifying x = 0.2666666667Solution
x = {0, 0.2666666667}
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