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Simplifying 4x2 + 3x + 5 = 27 Reorder the terms: 5 + 3x + 4x2 = 27 Solving 5 + 3x + 4x2 = 27 Solving for variable 'x'. Reorder the terms: 5 + -27 + 3x + 4x2 = 27 + -27 Combine like terms: 5 + -27 = -22 -22 + 3x + 4x2 = 27 + -27 Combine like terms: 27 + -27 = 0 -22 + 3x + 4x2 = 0 Factor a trinomial. (-11 + -4x)(2 + -1x) = 0Subproblem 1
Set the factor '(-11 + -4x)' equal to zero and attempt to solve: Simplifying -11 + -4x = 0 Solving -11 + -4x = 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 + -4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 0 + 11 -4x = 0 + 11 Combine like terms: 0 + 11 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.75, 2}
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