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Simplifying 5(1 + -3x) + 8x(1 + 4x) = 0 (1 * 5 + -3x * 5) + 8x(1 + 4x) = 0 (5 + -15x) + 8x(1 + 4x) = 0 5 + -15x + (1 * 8x + 4x * 8x) = 0 5 + -15x + (8x + 32x2) = 0 Combine like terms: -15x + 8x = -7x 5 + -7x + 32x2 = 0 Solving 5 + -7x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.15625 + -0.21875x + x2 = 0 Move the constant term to the right: Add '-0.15625' to each side of the equation. 0.15625 + -0.21875x + -0.15625 + x2 = 0 + -0.15625 Reorder the terms: 0.15625 + -0.15625 + -0.21875x + x2 = 0 + -0.15625 Combine like terms: 0.15625 + -0.15625 = 0.00000 0.00000 + -0.21875x + x2 = 0 + -0.15625 -0.21875x + x2 = 0 + -0.15625 Combine like terms: 0 + -0.15625 = -0.15625 -0.21875x + x2 = -0.15625 The x term is -0.21875x. Take half its coefficient (-0.109375). Square it (0.01196289063) and add it to both sides. Add '0.01196289063' to each side of the equation. -0.21875x + 0.01196289063 + x2 = -0.15625 + 0.01196289063 Reorder the terms: 0.01196289063 + -0.21875x + x2 = -0.15625 + 0.01196289063 Combine like terms: -0.15625 + 0.01196289063 = -0.14428710937 0.01196289063 + -0.21875x + x2 = -0.14428710937 Factor a perfect square on the left side: (x + -0.109375)(x + -0.109375) = -0.14428710937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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