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Simplifying 5(4 + -1x)(4 + -1x) + -3x(3 + -1x) = 0 Multiply (4 + -1x) * (4 + -1x) 5(4(4 + -1x) + -1x * (4 + -1x)) + -3x(3 + -1x) = 0 5((4 * 4 + -1x * 4) + -1x * (4 + -1x)) + -3x(3 + -1x) = 0 5((16 + -4x) + -1x * (4 + -1x)) + -3x(3 + -1x) = 0 5(16 + -4x + (4 * -1x + -1x * -1x)) + -3x(3 + -1x) = 0 5(16 + -4x + (-4x + 1x2)) + -3x(3 + -1x) = 0 Combine like terms: -4x + -4x = -8x 5(16 + -8x + 1x2) + -3x(3 + -1x) = 0 (16 * 5 + -8x * 5 + 1x2 * 5) + -3x(3 + -1x) = 0 (80 + -40x + 5x2) + -3x(3 + -1x) = 0 80 + -40x + 5x2 + (3 * -3x + -1x * -3x) = 0 80 + -40x + 5x2 + (-9x + 3x2) = 0 Reorder the terms: 80 + -40x + -9x + 5x2 + 3x2 = 0 Combine like terms: -40x + -9x = -49x 80 + -49x + 5x2 + 3x2 = 0 Combine like terms: 5x2 + 3x2 = 8x2 80 + -49x + 8x2 = 0 Solving 80 + -49x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 10 + -6.125x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6.125x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -6.125x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6.125x + x2 = 0 + -10 -6.125x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6.125x + x2 = -10 The x term is -6.125x. Take half its coefficient (-3.0625). Square it (9.37890625) and add it to both sides. Add '9.37890625' to each side of the equation. -6.125x + 9.37890625 + x2 = -10 + 9.37890625 Reorder the terms: 9.37890625 + -6.125x + x2 = -10 + 9.37890625 Combine like terms: -10 + 9.37890625 = -0.62109375 9.37890625 + -6.125x + x2 = -0.62109375 Factor a perfect square on the left side: (x + -3.0625)(x + -3.0625) = -0.62109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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