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Simplifying (3x + 6) + -1(6x2 + 12) = 4x + -6 Reorder the terms: (6 + 3x) + -1(6x2 + 12) = 4x + -6 Remove parenthesis around (6 + 3x) 6 + 3x + -1(6x2 + 12) = 4x + -6 Reorder the terms: 6 + 3x + -1(12 + 6x2) = 4x + -6 6 + 3x + (12 * -1 + 6x2 * -1) = 4x + -6 6 + 3x + (-12 + -6x2) = 4x + -6 Reorder the terms: 6 + -12 + 3x + -6x2 = 4x + -6 Combine like terms: 6 + -12 = -6 -6 + 3x + -6x2 = 4x + -6 Reorder the terms: -6 + 3x + -6x2 = -6 + 4x Add '6' to each side of the equation. -6 + 3x + 6 + -6x2 = -6 + 6 + 4x Reorder the terms: -6 + 6 + 3x + -6x2 = -6 + 6 + 4x Combine like terms: -6 + 6 = 0 0 + 3x + -6x2 = -6 + 6 + 4x 3x + -6x2 = -6 + 6 + 4x Combine like terms: -6 + 6 = 0 3x + -6x2 = 0 + 4x 3x + -6x2 = 4x Solving 3x + -6x2 = 4x Solving for variable 'x'. Reorder the terms: 3x + -4x + -6x2 = 4x + -4x Combine like terms: 3x + -4x = -1x -1x + -6x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -1x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + 6x) = 0 Ignore the factor -1.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 '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667Solution
x = {0, -0.1666666667}
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