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Simplifying X2 + -5x2 + 4 = 0 Reorder the terms: 4 + X2 + -5x2 = 0 Solving 4 + X2 + -5x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + X2 + -4 + -5x2 = 0 + -4 Reorder the terms: 4 + -4 + X2 + -5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X2 + -5x2 = 0 + -4 X2 + -5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 X2 + -5x2 = -4 Add '5x2' to each side of the equation. X2 + -5x2 + 5x2 = -4 + 5x2 Combine like terms: -5x2 + 5x2 = 0 X2 + 0 = -4 + 5x2 X2 = -4 + 5x2 Simplifying X2 = -4 + 5x2 Reorder the terms: 4 + X2 + -5x2 = -4 + 5x2 + 4 + -5x2 Reorder the terms: 4 + X2 + -5x2 = -4 + 4 + 5x2 + -5x2 Combine like terms: -4 + 4 = 0 4 + X2 + -5x2 = 0 + 5x2 + -5x2 4 + X2 + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 4 + X2 + -5x2 = 0 Factor a trinomial. (X + -1x)(X + 5x) = 0Subproblem 1
Set the factor '(X + -1x)' equal to zero and attempt to solve: Simplifying X + -1x = 0 Solving X + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X + -1x + x = 0 + x Combine like terms: -1x + x = 0 X + 0 = 0 + x X = 0 + x Remove the zero: X = x Simplifying X = xSubproblem 2
Set the factor '(X + 5x)' equal to zero and attempt to solve: Simplifying X + 5x = 0 Solving X + 5x = 0 Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. X + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 X + 0 = 0 + -5x X = 0 + -5x Remove the zero: X = -5x Simplifying X = -5xSolution
X = {x, -5x}
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