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Simplifying (6x + 3) + -1(-4x2 + -5x + 3) = 0 Reorder the terms: (3 + 6x) + -1(-4x2 + -5x + 3) = 0 Remove parenthesis around (3 + 6x) 3 + 6x + -1(-4x2 + -5x + 3) = 0 Reorder the terms: 3 + 6x + -1(3 + -5x + -4x2) = 0 3 + 6x + (3 * -1 + -5x * -1 + -4x2 * -1) = 0 3 + 6x + (-3 + 5x + 4x2) = 0 Reorder the terms: 3 + -3 + 6x + 5x + 4x2 = 0 Combine like terms: 3 + -3 = 0 0 + 6x + 5x + 4x2 = 0 6x + 5x + 4x2 = 0 Combine like terms: 6x + 5x = 11x 11x + 4x2 = 0 Solving 11x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 4x) = 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 '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Solution
x = {0, -2.75}
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