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Simplifying 4x2 + 42x = 22 Reorder the terms: 42x + 4x2 = 22 Solving 42x + 4x2 = 22 Solving for variable 'x'. Reorder the terms: -22 + 42x + 4x2 = 22 + -22 Combine like terms: 22 + -22 = 0 -22 + 42x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + 21x + 2x2) = 0 Factor a trinomial. 2((-11 + -1x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 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 = {-11, 0.5}
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