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Simplifying 18 + -1(9 + -5x) * x = 4 Reorder the terms for easier multiplication: 18 + -1x(9 + -5x) = 4 18 + (9 * -1x + -5x * -1x) = 4 18 + (-9x + 5x2) = 4 Solving 18 + -9x + 5x2 = 4 Solving for variable 'x'. Reorder the terms: 18 + -4 + -9x + 5x2 = 4 + -4 Combine like terms: 18 + -4 = 14 14 + -9x + 5x2 = 4 + -4 Combine like terms: 4 + -4 = 0 14 + -9x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.8 + -1.8x + x2 = 0 Move the constant term to the right: Add '-2.8' to each side of the equation. 2.8 + -1.8x + -2.8 + x2 = 0 + -2.8 Reorder the terms: 2.8 + -2.8 + -1.8x + x2 = 0 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -1.8x + x2 = 0 + -2.8 -1.8x + x2 = 0 + -2.8 Combine like terms: 0 + -2.8 = -2.8 -1.8x + x2 = -2.8 The x term is -1.8x. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8x + 0.81 + x2 = -2.8 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -2.8 + 0.81 Combine like terms: -2.8 + 0.81 = -1.99 0.81 + -1.8x + x2 = -1.99 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -1.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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