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Simplifying 5x2 + -32x + 38 = 3 Reorder the terms: 38 + -32x + 5x2 = 3 Solving 38 + -32x + 5x2 = 3 Solving for variable 'x'. Reorder the terms: 38 + -3 + -32x + 5x2 = 3 + -3 Combine like terms: 38 + -3 = 35 35 + -32x + 5x2 = 3 + -3 Combine like terms: 3 + -3 = 0 35 + -32x + 5x2 = 0 Factor a trinomial. (7 + -5x)(5 + -1x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1.4, 5}
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