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Simplifying 4x2 + -110x + 106 = 0 Reorder the terms: 106 + -110x + 4x2 = 0 Solving 106 + -110x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(53 + -55x + 2x2) = 0 Factor a trinomial. 2((1 + -1x)(53 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(53 + -2x)' equal to zero and attempt to solve: Simplifying 53 + -2x = 0 Solving 53 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -2x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -2x = 0 + -53 -2x = 0 + -53 Combine like terms: 0 + -53 = -53 -2x = -53 Divide each side by '-2'. x = 26.5 Simplifying x = 26.5Solution
x = {1, 26.5}
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