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Simplifying (5x + 4)(5x + 4) + -8 = (x + -10) Reorder the terms: (4 + 5x)(5x + 4) + -8 = (x + -10) Reorder the terms: (4 + 5x)(4 + 5x) + -8 = (x + -10) Multiply (4 + 5x) * (4 + 5x) (4(4 + 5x) + 5x * (4 + 5x)) + -8 = (x + -10) ((4 * 4 + 5x * 4) + 5x * (4 + 5x)) + -8 = (x + -10) ((16 + 20x) + 5x * (4 + 5x)) + -8 = (x + -10) (16 + 20x + (4 * 5x + 5x * 5x)) + -8 = (x + -10) (16 + 20x + (20x + 25x2)) + -8 = (x + -10) Combine like terms: 20x + 20x = 40x (16 + 40x + 25x2) + -8 = (x + -10) Reorder the terms: 16 + -8 + 40x + 25x2 = (x + -10) Combine like terms: 16 + -8 = 8 8 + 40x + 25x2 = (x + -10) Reorder the terms: 8 + 40x + 25x2 = (-10 + x) Remove parenthesis around (-10 + x) 8 + 40x + 25x2 = -10 + x Solving 8 + 40x + 25x2 = -10 + x Solving for variable 'x'. Reorder the terms: 8 + 10 + 40x + -1x + 25x2 = -10 + x + 10 + -1x Combine like terms: 8 + 10 = 18 18 + 40x + -1x + 25x2 = -10 + x + 10 + -1x Combine like terms: 40x + -1x = 39x 18 + 39x + 25x2 = -10 + x + 10 + -1x Reorder the terms: 18 + 39x + 25x2 = -10 + 10 + x + -1x Combine like terms: -10 + 10 = 0 18 + 39x + 25x2 = 0 + x + -1x 18 + 39x + 25x2 = x + -1x Combine like terms: x + -1x = 0 18 + 39x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.72 + 1.56x + x2 = 0 Move the constant term to the right: Add '-0.72' to each side of the equation. 0.72 + 1.56x + -0.72 + x2 = 0 + -0.72 Reorder the terms: 0.72 + -0.72 + 1.56x + x2 = 0 + -0.72 Combine like terms: 0.72 + -0.72 = 0.00 0.00 + 1.56x + x2 = 0 + -0.72 1.56x + x2 = 0 + -0.72 Combine like terms: 0 + -0.72 = -0.72 1.56x + x2 = -0.72 The x term is 1.56x. Take half its coefficient (0.78). Square it (0.6084) and add it to both sides. Add '0.6084' to each side of the equation. 1.56x + 0.6084 + x2 = -0.72 + 0.6084 Reorder the terms: 0.6084 + 1.56x + x2 = -0.72 + 0.6084 Combine like terms: -0.72 + 0.6084 = -0.1116 0.6084 + 1.56x + x2 = -0.1116 Factor a perfect square on the left side: (x + 0.78)(x + 0.78) = -0.1116 Can't calculate square root of the right side. The solution to this equation could not be determined.
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