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Simplifying 28x2 + -66x + 27 = -9 Reorder the terms: 27 + -66x + 28x2 = -9 Solving 27 + -66x + 28x2 = -9 Solving for variable 'x'. Reorder the terms: 27 + 9 + -66x + 28x2 = -9 + 9 Combine like terms: 27 + 9 = 36 36 + -66x + 28x2 = -9 + 9 Combine like terms: -9 + 9 = 0 36 + -66x + 28x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -33x + 14x2) = 0 Factor a trinomial. 2((6 + -7x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 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 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.8571428571, 1.5}
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