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Simplifying [(5 + -1x)(-5 + -1x)(x) + -45] + -1(5 + -1x)(-9) = 0 Reorder the terms for easier multiplication: [x(5 + -1x)(-5 + -1x) + -45] + -1(5 + -1x)(-9) = 0 Multiply (5 + -1x) * (-5 + -1x) [x(5(-5 + -1x) + -1x * (-5 + -1x)) + -45] + -1(5 + -1x)(-9) = 0 [x((-5 * 5 + -1x * 5) + -1x * (-5 + -1x)) + -45] + -1(5 + -1x)(-9) = 0 [x((-25 + -5x) + -1x * (-5 + -1x)) + -45] + -1(5 + -1x)(-9) = 0 [x(-25 + -5x + (-5 * -1x + -1x * -1x)) + -45] + -1(5 + -1x)(-9) = 0 [x(-25 + -5x + (5x + 1x2)) + -45] + -1(5 + -1x)(-9) = 0 Combine like terms: -5x + 5x = 0 [x(-25 + 0 + 1x2) + -45] + -1(5 + -1x)(-9) = 0 [x(-25 + 1x2) + -45] + -1(5 + -1x)(-9) = 0 [(-25 * x + 1x2 * x) + -45] + -1(5 + -1x)(-9) = 0 [(-25x + 1x3) + -45] + -1(5 + -1x)(-9) = 0 Reorder the terms: [-45 + -25x + 1x3] + -1(5 + -1x)(-9) = 0 Remove brackets around [-45 + -25x + 1x3] -45 + -25x + 1x3 + -1(5 + -1x)(-9) = 0 Reorder the terms for easier multiplication: -45 + -25x + 1x3 + -1 * -9(5 + -1x) = 0 Multiply -1 * -9 -45 + -25x + 1x3 + 9(5 + -1x) = 0 -45 + -25x + 1x3 + (5 * 9 + -1x * 9) = 0 -45 + -25x + 1x3 + (45 + -9x) = 0 Reorder the terms: -45 + 45 + -25x + -9x + 1x3 = 0 Combine like terms: -45 + 45 = 0 0 + -25x + -9x + 1x3 = 0 -25x + -9x + 1x3 = 0 Combine like terms: -25x + -9x = -34x -34x + 1x3 = 0 Solving -34x + 1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-34 + x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-34 + x2)' equal to zero and attempt to solve: Simplifying -34 + x2 = 0 Solving -34 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + x2 = 0 + 34 Combine like terms: -34 + 34 = 0 0 + x2 = 0 + 34 x2 = 0 + 34 Combine like terms: 0 + 34 = 34 x2 = 34 Simplifying x2 = 34 Take the square root of each side: x = {-5.830951895, 5.830951895}Solution
x = {0, -5.830951895, 5.830951895}
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