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Simplifying 7x * 8x = 5x + 2(10x + -2) Reorder the terms for easier multiplication: 7 * 8x * x = 5x + 2(10x + -2) Multiply 7 * 8 56x * x = 5x + 2(10x + -2) Multiply x * x 56x2 = 5x + 2(10x + -2) Reorder the terms: 56x2 = 5x + 2(-2 + 10x) 56x2 = 5x + (-2 * 2 + 10x * 2) 56x2 = 5x + (-4 + 20x) Reorder the terms: 56x2 = -4 + 5x + 20x Combine like terms: 5x + 20x = 25x 56x2 = -4 + 25x Solving 56x2 = -4 + 25x Solving for variable 'x'. Reorder the terms: 4 + -25x + 56x2 = -4 + 25x + 4 + -25x Reorder the terms: 4 + -25x + 56x2 = -4 + 4 + 25x + -25x Combine like terms: -4 + 4 = 0 4 + -25x + 56x2 = 0 + 25x + -25x 4 + -25x + 56x2 = 25x + -25x Combine like terms: 25x + -25x = 0 4 + -25x + 56x2 = 0 Begin completing the square. Divide all terms by 56 the coefficient of the squared term: Divide each side by '56'. 0.07142857143 + -0.4464285714x + x2 = 0 Move the constant term to the right: Add '-0.07142857143' to each side of the equation. 0.07142857143 + -0.4464285714x + -0.07142857143 + x2 = 0 + -0.07142857143 Reorder the terms: 0.07142857143 + -0.07142857143 + -0.4464285714x + x2 = 0 + -0.07142857143 Combine like terms: 0.07142857143 + -0.07142857143 = 0.00000000000 0.00000000000 + -0.4464285714x + x2 = 0 + -0.07142857143 -0.4464285714x + x2 = 0 + -0.07142857143 Combine like terms: 0 + -0.07142857143 = -0.07142857143 -0.4464285714x + x2 = -0.07142857143 The x term is -0.4464285714x. Take half its coefficient (-0.2232142857). Square it (0.04982461734) and add it to both sides. Add '0.04982461734' to each side of the equation. -0.4464285714x + 0.04982461734 + x2 = -0.07142857143 + 0.04982461734 Reorder the terms: 0.04982461734 + -0.4464285714x + x2 = -0.07142857143 + 0.04982461734 Combine like terms: -0.07142857143 + 0.04982461734 = -0.02160395409 0.04982461734 + -0.4464285714x + x2 = -0.02160395409 Factor a perfect square on the left side: (x + -0.2232142857)(x + -0.2232142857) = -0.02160395409 Can't calculate square root of the right side. The solution to this equation could not be determined.
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