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Simplifying 3x + -1(3x2 + -7x) + 8x2 = 0 Reorder the terms: 3x + -1(-7x + 3x2) + 8x2 = 0 3x + (-7x * -1 + 3x2 * -1) + 8x2 = 0 3x + (7x + -3x2) + 8x2 = 0 Combine like terms: 3x + 7x = 10x 10x + -3x2 + 8x2 = 0 Combine like terms: -3x2 + 8x2 = 5x2 10x + 5x2 = 0 Solving 10x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(2 + x) = 0 Ignore the factor 5.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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