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Simplifying 2x(4x2 + -5) + -1(7x3 + 3x) = 0 Reorder the terms: 2x(-5 + 4x2) + -1(7x3 + 3x) = 0 (-5 * 2x + 4x2 * 2x) + -1(7x3 + 3x) = 0 (-10x + 8x3) + -1(7x3 + 3x) = 0 Reorder the terms: -10x + 8x3 + -1(3x + 7x3) = 0 -10x + 8x3 + (3x * -1 + 7x3 * -1) = 0 -10x + 8x3 + (-3x + -7x3) = 0 Reorder the terms: -10x + -3x + 8x3 + -7x3 = 0 Combine like terms: -10x + -3x = -13x -13x + 8x3 + -7x3 = 0 Combine like terms: 8x3 + -7x3 = 1x3 -13x + 1x3 = 0 Solving -13x + 1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 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 '(-13 + x2)' equal to zero and attempt to solve: Simplifying -13 + x2 = 0 Solving -13 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x2 = 0 + 13 x2 = 0 + 13 Combine like terms: 0 + 13 = 13 x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}Solution
x = {0, -3.605551275, 3.605551275}
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