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Simplifying 0 = 7x2 + -81x + 162 Reorder the terms: 0 = 162 + -81x + 7x2 Solving 0 = 162 + -81x + 7x2 Solving for variable 'x'. Combine like terms: 0 + -162 = -162 -162 + 81x + -7x2 = 162 + -81x + 7x2 + -162 + 81x + -7x2 Reorder the terms: -162 + 81x + -7x2 = 162 + -162 + -81x + 81x + 7x2 + -7x2 Combine like terms: 162 + -162 = 0 -162 + 81x + -7x2 = 0 + -81x + 81x + 7x2 + -7x2 -162 + 81x + -7x2 = -81x + 81x + 7x2 + -7x2 Combine like terms: -81x + 81x = 0 -162 + 81x + -7x2 = 0 + 7x2 + -7x2 -162 + 81x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -162 + 81x + -7x2 = 0 Factor a trinomial. (-9 + x)(18 + -7x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(18 + -7x)' equal to zero and attempt to solve: Simplifying 18 + -7x = 0 Solving 18 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 0 + -18 -7x = 0 + -18 Combine like terms: 0 + -18 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571Solution
x = {9, 2.571428571}
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