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Simplifying -15x2 + 3x + -7x + 2x2 = 0 Reorder the terms: 3x + -7x + -15x2 + 2x2 = 0 Combine like terms: 3x + -7x = -4x -4x + -15x2 + 2x2 = 0 Combine like terms: -15x2 + 2x2 = -13x2 -4x + -13x2 = 0 Solving -4x + -13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(4 + 13x) = 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 '(4 + 13x)' equal to zero and attempt to solve: Simplifying 4 + 13x = 0 Solving 4 + 13x = 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 + 13x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 0 + -4 13x = 0 + -4 Combine like terms: 0 + -4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077Solution
x = {0, -0.3076923077}
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