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Simplifying (10x + 15) + -1(-14x2 + -5x + 15) = 0 Reorder the terms: (15 + 10x) + -1(-14x2 + -5x + 15) = 0 Remove parenthesis around (15 + 10x) 15 + 10x + -1(-14x2 + -5x + 15) = 0 Reorder the terms: 15 + 10x + -1(15 + -5x + -14x2) = 0 15 + 10x + (15 * -1 + -5x * -1 + -14x2 * -1) = 0 15 + 10x + (-15 + 5x + 14x2) = 0 Reorder the terms: 15 + -15 + 10x + 5x + 14x2 = 0 Combine like terms: 15 + -15 = 0 0 + 10x + 5x + 14x2 = 0 10x + 5x + 14x2 = 0 Combine like terms: 10x + 5x = 15x 15x + 14x2 = 0 Solving 15x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + 14x) = 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 '(15 + 14x)' equal to zero and attempt to solve: Simplifying 15 + 14x = 0 Solving 15 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = 0 + -15 14x = 0 + -15 Combine like terms: 0 + -15 = -15 14x = -15 Divide each side by '14'. x = -1.071428571 Simplifying x = -1.071428571Solution
x = {0, -1.071428571}
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