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Simplifying 49 + -1(2 + -1x)(2 + -1x) = 0 Multiply (2 + -1x) * (2 + -1x) 49 + -1(2(2 + -1x) + -1x * (2 + -1x)) = 0 49 + -1((2 * 2 + -1x * 2) + -1x * (2 + -1x)) = 0 49 + -1((4 + -2x) + -1x * (2 + -1x)) = 0 49 + -1(4 + -2x + (2 * -1x + -1x * -1x)) = 0 49 + -1(4 + -2x + (-2x + 1x2)) = 0 Combine like terms: -2x + -2x = -4x 49 + -1(4 + -4x + 1x2) = 0 49 + (4 * -1 + -4x * -1 + 1x2 * -1) = 0 49 + (-4 + 4x + -1x2) = 0 Combine like terms: 49 + -4 = 45 45 + 4x + -1x2 = 0 Solving 45 + 4x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {9, -5}
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