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Simplifying 2x2 + 2x + 1 = 841 Reorder the terms: 1 + 2x + 2x2 = 841 Solving 1 + 2x + 2x2 = 841 Solving for variable 'x'. Reorder the terms: 1 + -841 + 2x + 2x2 = 841 + -841 Combine like terms: 1 + -841 = -840 -840 + 2x + 2x2 = 841 + -841 Combine like terms: 841 + -841 = 0 -840 + 2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-420 + x + x2) = 0 Factor a trinomial. 2((-21 + -1x)(20 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve: Simplifying -21 + -1x = 0 Solving -21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-21, 20}
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