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Simplifying 25(36 + x2) = 4(20 + -1x) (36 * 25 + x2 * 25) = 4(20 + -1x) (900 + 25x2) = 4(20 + -1x) 900 + 25x2 = (20 * 4 + -1x * 4) 900 + 25x2 = (80 + -4x) Solving 900 + 25x2 = 80 + -4x Solving for variable 'x'. Reorder the terms: 900 + -80 + 4x + 25x2 = 80 + -4x + -80 + 4x Combine like terms: 900 + -80 = 820 820 + 4x + 25x2 = 80 + -4x + -80 + 4x Reorder the terms: 820 + 4x + 25x2 = 80 + -80 + -4x + 4x Combine like terms: 80 + -80 = 0 820 + 4x + 25x2 = 0 + -4x + 4x 820 + 4x + 25x2 = -4x + 4x Combine like terms: -4x + 4x = 0 820 + 4x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 32.8 + 0.16x + x2 = 0 Move the constant term to the right: Add '-32.8' to each side of the equation. 32.8 + 0.16x + -32.8 + x2 = 0 + -32.8 Reorder the terms: 32.8 + -32.8 + 0.16x + x2 = 0 + -32.8 Combine like terms: 32.8 + -32.8 = 0.0 0.0 + 0.16x + x2 = 0 + -32.8 0.16x + x2 = 0 + -32.8 Combine like terms: 0 + -32.8 = -32.8 0.16x + x2 = -32.8 The x term is 0.16x. Take half its coefficient (0.08). Square it (0.0064) and add it to both sides. Add '0.0064' to each side of the equation. 0.16x + 0.0064 + x2 = -32.8 + 0.0064 Reorder the terms: 0.0064 + 0.16x + x2 = -32.8 + 0.0064 Combine like terms: -32.8 + 0.0064 = -32.7936 0.0064 + 0.16x + x2 = -32.7936 Factor a perfect square on the left side: (x + 0.08)(x + 0.08) = -32.7936 Can't calculate square root of the right side. The solution to this equation could not be determined.
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