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Simplifying (20x + 6) + -1(-3x2 + -10x + 6) = 0 Reorder the terms: (6 + 20x) + -1(-3x2 + -10x + 6) = 0 Remove parenthesis around (6 + 20x) 6 + 20x + -1(-3x2 + -10x + 6) = 0 Reorder the terms: 6 + 20x + -1(6 + -10x + -3x2) = 0 6 + 20x + (6 * -1 + -10x * -1 + -3x2 * -1) = 0 6 + 20x + (-6 + 10x + 3x2) = 0 Reorder the terms: 6 + -6 + 20x + 10x + 3x2 = 0 Combine like terms: 6 + -6 = 0 0 + 20x + 10x + 3x2 = 0 20x + 10x + 3x2 = 0 Combine like terms: 20x + 10x = 30x 30x + 3x2 = 0 Solving 30x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(10 + x) = 0 Ignore the factor 3.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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {0, -10}
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