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Simplifying 6x(3x + -10) + x(2x + -3) = 0 Reorder the terms: 6x(-10 + 3x) + x(2x + -3) = 0 (-10 * 6x + 3x * 6x) + x(2x + -3) = 0 (-60x + 18x2) + x(2x + -3) = 0 Reorder the terms: -60x + 18x2 + x(-3 + 2x) = 0 -60x + 18x2 + (-3 * x + 2x * x) = 0 -60x + 18x2 + (-3x + 2x2) = 0 Reorder the terms: -60x + -3x + 18x2 + 2x2 = 0 Combine like terms: -60x + -3x = -63x -63x + 18x2 + 2x2 = 0 Combine like terms: 18x2 + 2x2 = 20x2 -63x + 20x2 = 0 Solving -63x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-63 + 20x) = 0Subproblem 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 '(-63 + 20x)' equal to zero and attempt to solve: Simplifying -63 + 20x = 0 Solving -63 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 20x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 20x = 0 + 63 20x = 0 + 63 Combine like terms: 0 + 63 = 63 20x = 63 Divide each side by '20'. x = 3.15 Simplifying x = 3.15Solution
x = {0, 3.15}
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