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Simplifying x(-1x) = x2(-1x) * 10(-1x) + -3 Remove parenthesis around (-1x) x * -1x = x2(-1x) * 10(-1x) + -3 Reorder the terms for easier multiplication: -1x * x = x2(-1x) * 10(-1x) + -3 Multiply x * x -1x2 = x2(-1x) * 10(-1x) + -3 Remove parenthesis around (-1x) -1x2 = x2 * -1x * 10(-1x) + -3 Remove parenthesis around (-1x) -1x2 = x2 * -1x * 10 * -1x + -3 Reorder the terms for easier multiplication: -1x2 = -1 * 10 * -1x2 * x * x + -3 Multiply -1 * 10 -1x2 = -10 * -1x2 * x * x + -3 Multiply -10 * -1 -1x2 = 10x2 * x * x + -3 Multiply x2 * x -1x2 = 10x3 * x + -3 Multiply x3 * x -1x2 = 10x4 + -3 Reorder the terms: -1x2 = -3 + 10x4 Solving -1x2 = -3 + 10x4 Solving for variable 'x'. Reorder the terms: 3 + -1x2 + -10x4 = -3 + 10x4 + 3 + -10x4 Reorder the terms: 3 + -1x2 + -10x4 = -3 + 3 + 10x4 + -10x4 Combine like terms: -3 + 3 = 0 3 + -1x2 + -10x4 = 0 + 10x4 + -10x4 3 + -1x2 + -10x4 = 10x4 + -10x4 Combine like terms: 10x4 + -10x4 = 0 3 + -1x2 + -10x4 = 0 Factor a trinomial. (1 + -2x2)(3 + 5x2) = 0Subproblem 1
Set the factor '(1 + -2x2)' equal to zero and attempt to solve: Simplifying 1 + -2x2 = 0 Solving 1 + -2x2 = 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 + -2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x2 = 0 + -1 -2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2x2 = -1 Divide each side by '-2'. x2 = 0.5 Simplifying x2 = 0.5 Take the square root of each side: x = {-0.707106781, 0.707106781}Subproblem 2
Set the factor '(3 + 5x2)' equal to zero and attempt to solve: Simplifying 3 + 5x2 = 0 Solving 3 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x2 = 0 + -3 5x2 = 0 + -3 Combine like terms: 0 + -3 = -3 5x2 = -3 Divide each side by '5'. x2 = -0.6 Simplifying x2 = -0.6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {-0.707106781, 0.707106781}
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