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Simplifying 7 + -6x + -9x2 = 8 Solving 7 + -6x + -9x2 = 8 Solving for variable 'x'. Reorder the terms: 7 + -8 + -6x + -9x2 = 8 + -8 Combine like terms: 7 + -8 = -1 -1 + -6x + -9x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -1 + -6x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 6x + 9x2) = 0 Factor a trinomial. -1((1 + 3x)(1 + 3x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-0.3333333333, -0.3333333333}
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