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Simplifying 7x2 + -101x + 364 = 0 Reorder the terms: 364 + -101x + 7x2 = 0 Solving 364 + -101x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(52 + -7x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(52 + -7x)' equal to zero and attempt to solve: Simplifying 52 + -7x = 0 Solving 52 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -7x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = 0 + -52 -7x = 0 + -52 Combine like terms: 0 + -52 = -52 -7x = -52 Divide each side by '-7'. x = 7.428571429 Simplifying x = 7.428571429Solution
x = {7, 7.428571429}
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