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Simplifying 5(2x2 + -6x) + -1(4x2 + -3x) = 0 Reorder the terms: 5(-6x + 2x2) + -1(4x2 + -3x) = 0 (-6x * 5 + 2x2 * 5) + -1(4x2 + -3x) = 0 (-30x + 10x2) + -1(4x2 + -3x) = 0 Reorder the terms: -30x + 10x2 + -1(-3x + 4x2) = 0 -30x + 10x2 + (-3x * -1 + 4x2 * -1) = 0 -30x + 10x2 + (3x + -4x2) = 0 Reorder the terms: -30x + 3x + 10x2 + -4x2 = 0 Combine like terms: -30x + 3x = -27x -27x + 10x2 + -4x2 = 0 Combine like terms: 10x2 + -4x2 = 6x2 -27x + 6x2 = 0 Solving -27x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-9 + 2x) = 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 '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5Solution
x = {0, 4.5}
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