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Simplifying x2 + -310x + 24025 = 0 Reorder the terms: 24025 + -310x + x2 = 0 Solving 24025 + -310x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (155 + -1x)(155 + -1x) = 0Subproblem 1
Set the factor '(155 + -1x)' equal to zero and attempt to solve: Simplifying 155 + -1x = 0 Solving 155 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-155' to each side of the equation. 155 + -155 + -1x = 0 + -155 Combine like terms: 155 + -155 = 0 0 + -1x = 0 + -155 -1x = 0 + -155 Combine like terms: 0 + -155 = -155 -1x = -155 Divide each side by '-1'. x = 155 Simplifying x = 155Subproblem 2
Set the factor '(155 + -1x)' equal to zero and attempt to solve: Simplifying 155 + -1x = 0 Solving 155 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-155' to each side of the equation. 155 + -155 + -1x = 0 + -155 Combine like terms: 155 + -155 = 0 0 + -1x = 0 + -155 -1x = 0 + -155 Combine like terms: 0 + -155 = -155 -1x = -155 Divide each side by '-1'. x = 155 Simplifying x = 155Solution
x = {155, 155}
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