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Simplifying 7x2 + -45x + 50 = 0 Reorder the terms: 50 + -45x + 7x2 = 0 Solving 50 + -45x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -7x)(5 + -1x) = 0Subproblem 1
Set the factor '(10 + -7x)' equal to zero and attempt to solve: Simplifying 10 + -7x = 0 Solving 10 + -7x = 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 + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 0 + -10 -7x = 0 + -10 Combine like terms: 0 + -10 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429Subproblem 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 = {1.428571429, 5}
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