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Simplifying 2 + -2x * 5x + 43 = 23x + -4 + -8x * 9x Reorder the terms for easier multiplication: 2 + -2 * 5x * x + 43 = 23x + -4 + -8x * 9x Multiply -2 * 5 2 + -10x * x + 43 = 23x + -4 + -8x * 9x Multiply x * x 2 + -10x2 + 43 = 23x + -4 + -8x * 9x Reorder the terms: 2 + 43 + -10x2 = 23x + -4 + -8x * 9x Combine like terms: 2 + 43 = 45 45 + -10x2 = 23x + -4 + -8x * 9x Reorder the terms for easier multiplication: 45 + -10x2 = 23x + -4 + -8 * 9x * x Multiply -8 * 9 45 + -10x2 = 23x + -4 + -72x * x Multiply x * x 45 + -10x2 = 23x + -4 + -72x2 Reorder the terms: 45 + -10x2 = -4 + 23x + -72x2 Solving 45 + -10x2 = -4 + 23x + -72x2 Solving for variable 'x'. Reorder the terms: 45 + 4 + -23x + -10x2 + 72x2 = -4 + 23x + -72x2 + 4 + -23x + 72x2 Combine like terms: 45 + 4 = 49 49 + -23x + -10x2 + 72x2 = -4 + 23x + -72x2 + 4 + -23x + 72x2 Combine like terms: -10x2 + 72x2 = 62x2 49 + -23x + 62x2 = -4 + 23x + -72x2 + 4 + -23x + 72x2 Reorder the terms: 49 + -23x + 62x2 = -4 + 4 + 23x + -23x + -72x2 + 72x2 Combine like terms: -4 + 4 = 0 49 + -23x + 62x2 = 0 + 23x + -23x + -72x2 + 72x2 49 + -23x + 62x2 = 23x + -23x + -72x2 + 72x2 Combine like terms: 23x + -23x = 0 49 + -23x + 62x2 = 0 + -72x2 + 72x2 49 + -23x + 62x2 = -72x2 + 72x2 Combine like terms: -72x2 + 72x2 = 0 49 + -23x + 62x2 = 0 Begin completing the square. Divide all terms by 62 the coefficient of the squared term: Divide each side by '62'. 0.7903225806 + -0.3709677419x + x2 = 0 Move the constant term to the right: Add '-0.7903225806' to each side of the equation. 0.7903225806 + -0.3709677419x + -0.7903225806 + x2 = 0 + -0.7903225806 Reorder the terms: 0.7903225806 + -0.7903225806 + -0.3709677419x + x2 = 0 + -0.7903225806 Combine like terms: 0.7903225806 + -0.7903225806 = 0.0000000000 0.0000000000 + -0.3709677419x + x2 = 0 + -0.7903225806 -0.3709677419x + x2 = 0 + -0.7903225806 Combine like terms: 0 + -0.7903225806 = -0.7903225806 -0.3709677419x + x2 = -0.7903225806 The x term is -0.3709677419x. Take half its coefficient (-0.185483871). Square it (0.03440426640) and add it to both sides. Add '0.03440426640' to each side of the equation. -0.3709677419x + 0.03440426640 + x2 = -0.7903225806 + 0.03440426640 Reorder the terms: 0.03440426640 + -0.3709677419x + x2 = -0.7903225806 + 0.03440426640 Combine like terms: -0.7903225806 + 0.03440426640 = -0.7559183142 0.03440426640 + -0.3709677419x + x2 = -0.7559183142 Factor a perfect square on the left side: (x + -0.185483871)(x + -0.185483871) = -0.7559183142 Can't calculate square root of the right side. The solution to this equation could not be determined.
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