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Simplifying 5x2 + 3x + 1 = 27 Reorder the terms: 1 + 3x + 5x2 = 27 Solving 1 + 3x + 5x2 = 27 Solving for variable 'x'. Reorder the terms: 1 + -27 + 3x + 5x2 = 27 + -27 Combine like terms: 1 + -27 = -26 -26 + 3x + 5x2 = 27 + -27 Combine like terms: 27 + -27 = 0 -26 + 3x + 5x2 = 0 Factor a trinomial. (-13 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-13 + -5x)' equal to zero and attempt to solve: Simplifying -13 + -5x = 0 Solving -13 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -5x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 0 + 13 -5x = 0 + 13 Combine like terms: 0 + 13 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6Subproblem 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 = {-2.6, 2}
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