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Simplifying 4x2 + -59x + 190 = 0 Reorder the terms: 190 + -59x + 4x2 = 0 Solving 190 + -59x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + -4x)(10 + -1x) = 0Subproblem 1
Set the factor '(19 + -4x)' equal to zero and attempt to solve: Simplifying 19 + -4x = 0 Solving 19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 0 + -19 -4x = 0 + -19 Combine like terms: 0 + -19 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75Subproblem 2
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 = 10Solution
x = {4.75, 10}
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