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Simplifying 7x2 + 95x + 30 = -8x2 Reorder the terms: 30 + 95x + 7x2 = -8x2 Solving 30 + 95x + 7x2 = -8x2 Solving for variable 'x'. Combine like terms: 7x2 + 8x2 = 15x2 30 + 95x + 15x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 30 + 95x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(6 + 19x + 3x2) = 0 Factor a trinomial. 5((6 + x)(1 + 3x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -0.3333333333}
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