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Simplifying x2 + -4x + 5 = (x + -2)(x + 2) Reorder the terms: 5 + -4x + x2 = (x + -2)(x + 2) Reorder the terms: 5 + -4x + x2 = (-2 + x)(x + 2) Reorder the terms: 5 + -4x + x2 = (-2 + x)(2 + x) Multiply (-2 + x) * (2 + x) 5 + -4x + x2 = (-2(2 + x) + x(2 + x)) 5 + -4x + x2 = ((2 * -2 + x * -2) + x(2 + x)) 5 + -4x + x2 = ((-4 + -2x) + x(2 + x)) 5 + -4x + x2 = (-4 + -2x + (2 * x + x * x)) 5 + -4x + x2 = (-4 + -2x + (2x + x2)) Combine like terms: -2x + 2x = 0 5 + -4x + x2 = (-4 + 0 + x2) 5 + -4x + x2 = (-4 + x2) Add '-1x2' to each side of the equation. 5 + -4x + x2 + -1x2 = -4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -4x + 0 = -4 + x2 + -1x2 5 + -4x = -4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -4x = -4 + 0 5 + -4x = -4 Solving 5 + -4x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -4 + -5 -4x = -4 + -5 Combine like terms: -4 + -5 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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