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Simplifying (5x2 + -6x) + -1(x2 + 3x) = 0 Reorder the terms: (-6x + 5x2) + -1(x2 + 3x) = 0 Remove parenthesis around (-6x + 5x2) -6x + 5x2 + -1(x2 + 3x) = 0 Reorder the terms: -6x + 5x2 + -1(3x + x2) = 0 -6x + 5x2 + (3x * -1 + x2 * -1) = 0 -6x + 5x2 + (-3x + -1x2) = 0 Reorder the terms: -6x + -3x + 5x2 + -1x2 = 0 Combine like terms: -6x + -3x = -9x -9x + 5x2 + -1x2 = 0 Combine like terms: 5x2 + -1x2 = 4x2 -9x + 4x2 = 0 Solving -9x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 4x) = 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 '(-9 + 4x)' equal to zero and attempt to solve: Simplifying -9 + 4x = 0 Solving -9 + 4x = 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 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25Solution
x = {0, 2.25}
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