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Simplifying 25x2 + -13x = 10x2 + -7 Reorder the terms: -13x + 25x2 = 10x2 + -7 Reorder the terms: -13x + 25x2 = -7 + 10x2 Solving -13x + 25x2 = -7 + 10x2 Solving for variable 'x'. Reorder the terms: 7 + -13x + 25x2 + -10x2 = -7 + 10x2 + 7 + -10x2 Combine like terms: 25x2 + -10x2 = 15x2 7 + -13x + 15x2 = -7 + 10x2 + 7 + -10x2 Reorder the terms: 7 + -13x + 15x2 = -7 + 7 + 10x2 + -10x2 Combine like terms: -7 + 7 = 0 7 + -13x + 15x2 = 0 + 10x2 + -10x2 7 + -13x + 15x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 7 + -13x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.4666666667 + -0.8666666667x + x2 = 0 Move the constant term to the right: Add '-0.4666666667' to each side of the equation. 0.4666666667 + -0.8666666667x + -0.4666666667 + x2 = 0 + -0.4666666667 Reorder the terms: 0.4666666667 + -0.4666666667 + -0.8666666667x + x2 = 0 + -0.4666666667 Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000 0.0000000000 + -0.8666666667x + x2 = 0 + -0.4666666667 -0.8666666667x + x2 = 0 + -0.4666666667 Combine like terms: 0 + -0.4666666667 = -0.4666666667 -0.8666666667x + x2 = -0.4666666667 The x term is -0.8666666667x. Take half its coefficient (-0.4333333334). Square it (0.1877777778) and add it to both sides. Add '0.1877777778' to each side of the equation. -0.8666666667x + 0.1877777778 + x2 = -0.4666666667 + 0.1877777778 Reorder the terms: 0.1877777778 + -0.8666666667x + x2 = -0.4666666667 + 0.1877777778 Combine like terms: -0.4666666667 + 0.1877777778 = -0.2788888889 0.1877777778 + -0.8666666667x + x2 = -0.2788888889 Factor a perfect square on the left side: (x + -0.4333333334)(x + -0.4333333334) = -0.2788888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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