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Simplifying 7(x2 + 1) = 50x Reorder the terms: 7(1 + x2) = 50x (1 * 7 + x2 * 7) = 50x (7 + 7x2) = 50x Solving 7 + 7x2 = 50x Solving for variable 'x'. Reorder the terms: 7 + -50x + 7x2 = 50x + -50x Combine like terms: 50x + -50x = 0 7 + -50x + 7x2 = 0 Factor a trinomial. (1 + -7x)(7 + -1x) = 0Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Subproblem 2
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 = 7Solution
x = {0.1428571429, 7}
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