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Simplifying -15x2 + -19x = 3x2 + 5x Reorder the terms: -19x + -15x2 = 3x2 + 5x Reorder the terms: -19x + -15x2 = 5x + 3x2 Solving -19x + -15x2 = 5x + 3x2 Solving for variable 'x'. Reorder the terms: -19x + -5x + -15x2 + -3x2 = 5x + 3x2 + -5x + -3x2 Combine like terms: -19x + -5x = -24x -24x + -15x2 + -3x2 = 5x + 3x2 + -5x + -3x2 Combine like terms: -15x2 + -3x2 = -18x2 -24x + -18x2 = 5x + 3x2 + -5x + -3x2 Reorder the terms: -24x + -18x2 = 5x + -5x + 3x2 + -3x2 Combine like terms: 5x + -5x = 0 -24x + -18x2 = 0 + 3x2 + -3x2 -24x + -18x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '-6x'. -6x(4 + 3x) = 0 Ignore the factor -6.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 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {0, -1.333333333}
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