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Simplifying 400 = (2x + -7) * x Reorder the terms: 400 = (-7 + 2x) * x Reorder the terms for easier multiplication: 400 = x(-7 + 2x) 400 = (-7 * x + 2x * x) 400 = (-7x + 2x2) Solving 400 = -7x + 2x2 Solving for variable 'x'. Reorder the terms: 400 + 7x + -2x2 = -7x + 7x + 2x2 + -2x2 Combine like terms: -7x + 7x = 0 400 + 7x + -2x2 = 0 + 2x2 + -2x2 400 + 7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 400 + 7x + -2x2 = 0 Factor a trinomial. (16 + -1x)(25 + 2x) = 0Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Subproblem 2
Set the factor '(25 + 2x)' equal to zero and attempt to solve: Simplifying 25 + 2x = 0 Solving 25 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 0 + -25 2x = 0 + -25 Combine like terms: 0 + -25 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5Solution
x = {16, -12.5}
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