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Simplifying 4x2 + 2x = 2862 Reorder the terms: 2x + 4x2 = 2862 Solving 2x + 4x2 = 2862 Solving for variable 'x'. Reorder the terms: -2862 + 2x + 4x2 = 2862 + -2862 Combine like terms: 2862 + -2862 = 0 -2862 + 2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1431 + x + 2x2) = 0 Factor a trinomial. 2((-27 + -1x)(53 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve: Simplifying -27 + -1x = 0 Solving -27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 0 + 27 -1x = 0 + 27 Combine like terms: 0 + 27 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27Subproblem 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 = {-27, 26.5}
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