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Simplifying 4 + 5(3 + -1x) = -3(7x + 2) * 8x 4 + (3 * 5 + -1x * 5) = -3(7x + 2) * 8x 4 + (15 + -5x) = -3(7x + 2) * 8x Combine like terms: 4 + 15 = 19 19 + -5x = -3(7x + 2) * 8x Reorder the terms: 19 + -5x = -3(2 + 7x) * 8x Reorder the terms for easier multiplication: 19 + -5x = -3 * 8x(2 + 7x) Multiply -3 * 8 19 + -5x = -24x(2 + 7x) 19 + -5x = (2 * -24x + 7x * -24x) 19 + -5x = (-48x + -168x2) Solving 19 + -5x = -48x + -168x2 Solving for variable 'x'. Combine like terms: -5x + 48x = 43x 19 + 43x + 168x2 = -48x + -168x2 + 48x + 168x2 Reorder the terms: 19 + 43x + 168x2 = -48x + 48x + -168x2 + 168x2 Combine like terms: -48x + 48x = 0 19 + 43x + 168x2 = 0 + -168x2 + 168x2 19 + 43x + 168x2 = -168x2 + 168x2 Combine like terms: -168x2 + 168x2 = 0 19 + 43x + 168x2 = 0 Begin completing the square. Divide all terms by 168 the coefficient of the squared term: Divide each side by '168'. 0.1130952381 + 0.255952381x + x2 = 0 Move the constant term to the right: Add '-0.1130952381' to each side of the equation. 0.1130952381 + 0.255952381x + -0.1130952381 + x2 = 0 + -0.1130952381 Reorder the terms: 0.1130952381 + -0.1130952381 + 0.255952381x + x2 = 0 + -0.1130952381 Combine like terms: 0.1130952381 + -0.1130952381 = 0.0000000000 0.0000000000 + 0.255952381x + x2 = 0 + -0.1130952381 0.255952381x + x2 = 0 + -0.1130952381 Combine like terms: 0 + -0.1130952381 = -0.1130952381 0.255952381x + x2 = -0.1130952381 The x term is 0.255952381x. Take half its coefficient (0.1279761905). Square it (0.01637790533) and add it to both sides. Add '0.01637790533' to each side of the equation. 0.255952381x + 0.01637790533 + x2 = -0.1130952381 + 0.01637790533 Reorder the terms: 0.01637790533 + 0.255952381x + x2 = -0.1130952381 + 0.01637790533 Combine like terms: -0.1130952381 + 0.01637790533 = -0.09671733277 0.01637790533 + 0.255952381x + x2 = -0.09671733277 Factor a perfect square on the left side: (x + 0.1279761905)(x + 0.1279761905) = -0.09671733277 Can't calculate square root of the right side. The solution to this equation could not be determined.
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