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Simplifying (75 + -1x)(75 + -1x) = 0 Multiply (75 + -1x) * (75 + -1x) (75(75 + -1x) + -1x * (75 + -1x)) = 0 ((75 * 75 + -1x * 75) + -1x * (75 + -1x)) = 0 ((5625 + -75x) + -1x * (75 + -1x)) = 0 (5625 + -75x + (75 * -1x + -1x * -1x)) = 0 (5625 + -75x + (-75x + 1x2)) = 0 Combine like terms: -75x + -75x = -150x (5625 + -150x + 1x2) = 0 Solving 5625 + -150x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (75 + -1x)(75 + -1x) = 0Subproblem 1
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Solution
x = {75, 75}
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