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Simplifying 2x + 3x(x + -5) = x Reorder the terms: 2x + 3x(-5 + x) = x 2x + (-5 * 3x + x * 3x) = x 2x + (-15x + 3x2) = x Combine like terms: 2x + -15x = -13x -13x + 3x2 = x Solving -13x + 3x2 = x Solving for variable 'x'. Reorder the terms: -13x + -1x + 3x2 = x + -1x Combine like terms: -13x + -1x = -14x -14x + 3x2 = x + -1x Combine like terms: x + -1x = 0 -14x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 3x) = 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 '(-14 + 3x)' equal to zero and attempt to solve: Simplifying -14 + 3x = 0 Solving -14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667Solution
x = {0, 4.666666667}
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