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Simplifying 7x(-3x + -5) + -3x(-3x + -4) = 0 Reorder the terms: 7x(-5 + -3x) + -3x(-3x + -4) = 0 (-5 * 7x + -3x * 7x) + -3x(-3x + -4) = 0 (-35x + -21x2) + -3x(-3x + -4) = 0 Reorder the terms: -35x + -21x2 + -3x(-4 + -3x) = 0 -35x + -21x2 + (-4 * -3x + -3x * -3x) = 0 -35x + -21x2 + (12x + 9x2) = 0 Reorder the terms: -35x + 12x + -21x2 + 9x2 = 0 Combine like terms: -35x + 12x = -23x -23x + -21x2 + 9x2 = 0 Combine like terms: -21x2 + 9x2 = -12x2 -23x + -12x2 = 0 Solving -23x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(23 + 12x) = 0 Ignore the factor -1.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 '(23 + 12x)' equal to zero and attempt to solve: Simplifying 23 + 12x = 0 Solving 23 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 12x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 12x = 0 + -23 12x = 0 + -23 Combine like terms: 0 + -23 = -23 12x = -23 Divide each side by '12'. x = -1.916666667 Simplifying x = -1.916666667Solution
x = {0, -1.916666667}
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