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Simplifying 5x * 5x + -15x + 7 = 0 Reorder the terms for easier multiplication: 5 * 5x * x + -15x + 7 = 0 Multiply 5 * 5 25x * x + -15x + 7 = 0 Multiply x * x 25x2 + -15x + 7 = 0 Reorder the terms: 7 + -15x + 25x2 = 0 Solving 7 + -15x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.28 + -0.6x + x2 = 0 Move the constant term to the right: Add '-0.28' to each side of the equation. 0.28 + -0.6x + -0.28 + x2 = 0 + -0.28 Reorder the terms: 0.28 + -0.28 + -0.6x + x2 = 0 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.6x + x2 = 0 + -0.28 -0.6x + x2 = 0 + -0.28 Combine like terms: 0 + -0.28 = -0.28 -0.6x + x2 = -0.28 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -0.28 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.28 + 0.09 Combine like terms: -0.28 + 0.09 = -0.19 0.09 + -0.6x + x2 = -0.19 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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