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Simplifying (7x + 6) + -1(-3x2 + -4x + 6) = 0 Reorder the terms: (6 + 7x) + -1(-3x2 + -4x + 6) = 0 Remove parenthesis around (6 + 7x) 6 + 7x + -1(-3x2 + -4x + 6) = 0 Reorder the terms: 6 + 7x + -1(6 + -4x + -3x2) = 0 6 + 7x + (6 * -1 + -4x * -1 + -3x2 * -1) = 0 6 + 7x + (-6 + 4x + 3x2) = 0 Reorder the terms: 6 + -6 + 7x + 4x + 3x2 = 0 Combine like terms: 6 + -6 = 0 0 + 7x + 4x + 3x2 = 0 7x + 4x + 3x2 = 0 Combine like terms: 7x + 4x = 11x 11x + 3x2 = 0 Solving 11x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 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 '(11 + 3x)' equal to zero and attempt to solve: Simplifying 11 + 3x = 0 Solving 11 + 3x = 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 + 3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 0 + -11 3x = 0 + -11 Combine like terms: 0 + -11 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667Solution
x = {0, -3.666666667}
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