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Simplifying (3x2 + 3x + 3) + -1(x2 + 2x + 3) = 0 Reorder the terms: (3 + 3x + 3x2) + -1(x2 + 2x + 3) = 0 Remove parenthesis around (3 + 3x + 3x2) 3 + 3x + 3x2 + -1(x2 + 2x + 3) = 0 Reorder the terms: 3 + 3x + 3x2 + -1(3 + 2x + x2) = 0 3 + 3x + 3x2 + (3 * -1 + 2x * -1 + x2 * -1) = 0 3 + 3x + 3x2 + (-3 + -2x + -1x2) = 0 Reorder the terms: 3 + -3 + 3x + -2x + 3x2 + -1x2 = 0 Combine like terms: 3 + -3 = 0 0 + 3x + -2x + 3x2 + -1x2 = 0 3x + -2x + 3x2 + -1x2 = 0 Combine like terms: 3x + -2x = 1x 1x + 3x2 + -1x2 = 0 Combine like terms: 3x2 + -1x2 = 2x2 1x + 2x2 = 0 Solving 1x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0, -0.5}
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