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Simplifying 0 = 6x2 + 7x + 2 Reorder the terms: 0 = 2 + 7x + 6x2 Solving 0 = 2 + 7x + 6x2 Solving for variable 'x'. Combine like terms: 0 + -2 = -2 -2 + -7x + -6x2 = 2 + 7x + 6x2 + -2 + -7x + -6x2 Reorder the terms: -2 + -7x + -6x2 = 2 + -2 + 7x + -7x + 6x2 + -6x2 Combine like terms: 2 + -2 = 0 -2 + -7x + -6x2 = 0 + 7x + -7x + 6x2 + -6x2 -2 + -7x + -6x2 = 7x + -7x + 6x2 + -6x2 Combine like terms: 7x + -7x = 0 -2 + -7x + -6x2 = 0 + 6x2 + -6x2 -2 + -7x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + -7x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 7x + 6x2) = 0 Factor a trinomial. -1((2 + 3x)(1 + 2x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 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 = {-0.6666666667, -0.5}
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