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Simplifying (-3 + 2x2 + x5) + -1(4 + -1x3 + 2x2 + x5) + (3x3 + -6x + 7) = 0 Remove parenthesis around (-3 + 2x2 + x5) -3 + 2x2 + x5 + -1(4 + -1x3 + 2x2 + x5) + (3x3 + -6x + 7) = 0 Reorder the terms: -3 + 2x2 + x5 + -1(4 + 2x2 + -1x3 + x5) + (3x3 + -6x + 7) = 0 -3 + 2x2 + x5 + (4 * -1 + 2x2 * -1 + -1x3 * -1 + x5 * -1) + (3x3 + -6x + 7) = 0 -3 + 2x2 + x5 + (-4 + -2x2 + 1x3 + -1x5) + (3x3 + -6x + 7) = 0 Reorder the terms: -3 + 2x2 + x5 + -4 + -2x2 + 1x3 + -1x5 + (7 + -6x + 3x3) = 0 Remove parenthesis around (7 + -6x + 3x3) -3 + 2x2 + x5 + -4 + -2x2 + 1x3 + -1x5 + 7 + -6x + 3x3 = 0 Reorder the terms: -3 + -4 + 7 + -6x + 2x2 + -2x2 + 1x3 + 3x3 + x5 + -1x5 = 0 Combine like terms: -3 + -4 = -7 -7 + 7 + -6x + 2x2 + -2x2 + 1x3 + 3x3 + x5 + -1x5 = 0 Combine like terms: -7 + 7 = 0 0 + -6x + 2x2 + -2x2 + 1x3 + 3x3 + x5 + -1x5 = 0 -6x + 2x2 + -2x2 + 1x3 + 3x3 + x5 + -1x5 = 0 Combine like terms: 2x2 + -2x2 = 0 -6x + 0 + 1x3 + 3x3 + x5 + -1x5 = 0 -6x + 1x3 + 3x3 + x5 + -1x5 = 0 Combine like terms: 1x3 + 3x3 = 4x3 -6x + 4x3 + x5 + -1x5 = 0 Combine like terms: x5 + -1x5 = 0 -6x + 4x3 + 0 = 0 -6x + 4x3 = 0 Solving -6x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 2x2) = 0 Ignore the factor 2.Subproblem 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 '(-3 + 2x2)' equal to zero and attempt to solve: Simplifying -3 + 2x2 = 0 Solving -3 + 2x2 = 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 + 2x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x2 = 0 + 3 2x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2x2 = 3 Divide each side by '2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Solution
x = {0, -1.224744871, 1.224744871}
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