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Simplifying 0 = (-0.4x + -8)(-0.4x + -8) + 15 Reorder the terms: 0 = (-8 + -0.4x)(-0.4x + -8) + 15 Reorder the terms: 0 = (-8 + -0.4x)(-8 + -0.4x) + 15 Multiply (-8 + -0.4x) * (-8 + -0.4x) 0 = (-8(-8 + -0.4x) + -0.4x * (-8 + -0.4x)) + 15 0 = ((-8 * -8 + -0.4x * -8) + -0.4x * (-8 + -0.4x)) + 15 0 = ((64 + 3.2x) + -0.4x * (-8 + -0.4x)) + 15 0 = (64 + 3.2x + (-8 * -0.4x + -0.4x * -0.4x)) + 15 0 = (64 + 3.2x + (3.2x + 0.16x2)) + 15 Combine like terms: 3.2x + 3.2x = 6.4x 0 = (64 + 6.4x + 0.16x2) + 15 Reorder the terms: 0 = 64 + 15 + 6.4x + 0.16x2 Combine like terms: 64 + 15 = 79 0 = 79 + 6.4x + 0.16x2 Solving 0 = 79 + 6.4x + 0.16x2 Solving for variable 'x'. Combine like terms: 0 + -79 = -79 -79 + -6.4x + -0.16x2 = 79 + 6.4x + 0.16x2 + -79 + -6.4x + -0.16x2 Reorder the terms: -79 + -6.4x + -0.16x2 = 79 + -79 + 6.4x + -6.4x + 0.16x2 + -0.16x2 Combine like terms: 79 + -79 = 0 -79 + -6.4x + -0.16x2 = 0 + 6.4x + -6.4x + 0.16x2 + -0.16x2 -79 + -6.4x + -0.16x2 = 6.4x + -6.4x + 0.16x2 + -0.16x2 Combine like terms: 6.4x + -6.4x = 0.0 -79 + -6.4x + -0.16x2 = 0.0 + 0.16x2 + -0.16x2 -79 + -6.4x + -0.16x2 = 0.16x2 + -0.16x2 Combine like terms: 0.16x2 + -0.16x2 = 0.00 -79 + -6.4x + -0.16x2 = 0.00 Begin completing the square. Divide all terms by -0.16 the coefficient of the squared term: Divide each side by '-0.16'. 493.75 + 40x + x2 = 0 Move the constant term to the right: Add '-493.75' to each side of the equation. 493.75 + 40x + -493.75 + x2 = 0 + -493.75 Reorder the terms: 493.75 + -493.75 + 40x + x2 = 0 + -493.75 Combine like terms: 493.75 + -493.75 = 0.00 0.00 + 40x + x2 = 0 + -493.75 40x + x2 = 0 + -493.75 Combine like terms: 0 + -493.75 = -493.75 40x + x2 = -493.75 The x term is 40x. Take half its coefficient (20). Square it (400) and add it to both sides. Add '400' to each side of the equation. 40x + 400 + x2 = -493.75 + 400 Reorder the terms: 400 + 40x + x2 = -493.75 + 400 Combine like terms: -493.75 + 400 = -93.75 400 + 40x + x2 = -93.75 Factor a perfect square on the left side: (x + 20)(x + 20) = -93.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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