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Simplifying (2 + 88x)(55 + -7x) = 0 Multiply (2 + 88x) * (55 + -7x) (2(55 + -7x) + 88x * (55 + -7x)) = 0 ((55 * 2 + -7x * 2) + 88x * (55 + -7x)) = 0 ((110 + -14x) + 88x * (55 + -7x)) = 0 (110 + -14x + (55 * 88x + -7x * 88x)) = 0 (110 + -14x + (4840x + -616x2)) = 0 Combine like terms: -14x + 4840x = 4826x (110 + 4826x + -616x2) = 0 Solving 110 + 4826x + -616x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(55 + 2413x + -308x2) = 0 Factor a trinomial. 2((55 + -7x)(1 + 44x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(55 + -7x)' equal to zero and attempt to solve: Simplifying 55 + -7x = 0 Solving 55 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -7x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -7x = 0 + -55 -7x = 0 + -55 Combine like terms: 0 + -55 = -55 -7x = -55 Divide each side by '-7'. x = 7.857142857 Simplifying x = 7.857142857Subproblem 2
Set the factor '(1 + 44x)' equal to zero and attempt to solve: Simplifying 1 + 44x = 0 Solving 1 + 44x = 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 + 44x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 44x = 0 + -1 44x = 0 + -1 Combine like terms: 0 + -1 = -1 44x = -1 Divide each side by '44'. x = -0.02272727273 Simplifying x = -0.02272727273Solution
x = {7.857142857, -0.02272727273}
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