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Simplifying (6x + 5) + -1(-3x2 + -4x + 5) = 0 Reorder the terms: (5 + 6x) + -1(-3x2 + -4x + 5) = 0 Remove parenthesis around (5 + 6x) 5 + 6x + -1(-3x2 + -4x + 5) = 0 Reorder the terms: 5 + 6x + -1(5 + -4x + -3x2) = 0 5 + 6x + (5 * -1 + -4x * -1 + -3x2 * -1) = 0 5 + 6x + (-5 + 4x + 3x2) = 0 Reorder the terms: 5 + -5 + 6x + 4x + 3x2 = 0 Combine like terms: 5 + -5 = 0 0 + 6x + 4x + 3x2 = 0 6x + 4x + 3x2 = 0 Combine like terms: 6x + 4x = 10x 10x + 3x2 = 0 Solving 10x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(10 + 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 '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 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 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Solution
x = {0, -3.333333333}
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