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Simplifying 3604 = x(x + 15) Reorder the terms: 3604 = x(15 + x) 3604 = (15 * x + x * x) 3604 = (15x + x2) Solving 3604 = 15x + x2 Solving for variable 'x'. Reorder the terms: 3604 + -15x + -1x2 = 15x + -15x + x2 + -1x2 Combine like terms: 15x + -15x = 0 3604 + -15x + -1x2 = 0 + x2 + -1x2 3604 + -15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3604 + -15x + -1x2 = 0 Factor a trinomial. (53 + -1x)(68 + x) = 0Subproblem 1
Set the factor '(53 + -1x)' equal to zero and attempt to solve: Simplifying 53 + -1x = 0 Solving 53 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -1x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -1x = 0 + -53 -1x = 0 + -53 Combine like terms: 0 + -53 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53Subproblem 2
Set the factor '(68 + x)' equal to zero and attempt to solve: Simplifying 68 + x = 0 Solving 68 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + x = 0 + -68 x = 0 + -68 Combine like terms: 0 + -68 = -68 x = -68 Simplifying x = -68Solution
x = {53, -68}
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