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Simplifying 4900 = (48 + x) * x Reorder the terms for easier multiplication: 4900 = x(48 + x) 4900 = (48 * x + x * x) 4900 = (48x + x2) Solving 4900 = 48x + x2 Solving for variable 'x'. Reorder the terms: 4900 + -48x + -1x2 = 48x + -48x + x2 + -1x2 Combine like terms: 48x + -48x = 0 4900 + -48x + -1x2 = 0 + x2 + -1x2 4900 + -48x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4900 + -48x + -1x2 = 0 Factor a trinomial. (50 + -1x)(98 + x) = 0Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Subproblem 2
Set the factor '(98 + x)' equal to zero and attempt to solve: Simplifying 98 + x = 0 Solving 98 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + x = 0 + -98 Combine like terms: 98 + -98 = 0 0 + x = 0 + -98 x = 0 + -98 Combine like terms: 0 + -98 = -98 x = -98 Simplifying x = -98Solution
x = {50, -98}
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