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Simplifying 4x2 + 8x + 3 = 323 Reorder the terms: 3 + 8x + 4x2 = 323 Solving 3 + 8x + 4x2 = 323 Solving for variable 'x'. Reorder the terms: 3 + -323 + 8x + 4x2 = 323 + -323 Combine like terms: 3 + -323 = -320 -320 + 8x + 4x2 = 323 + -323 Combine like terms: 323 + -323 = 0 -320 + 8x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-80 + 2x + x2) = 0 Factor a trinomial. 4((-10 + -1x)(8 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-10, 8}
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