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Simplifying (7x2 + -5x + 25) + -1(6x2 + -15) = 0 Reorder the terms: (25 + -5x + 7x2) + -1(6x2 + -15) = 0 Remove parenthesis around (25 + -5x + 7x2) 25 + -5x + 7x2 + -1(6x2 + -15) = 0 Reorder the terms: 25 + -5x + 7x2 + -1(-15 + 6x2) = 0 25 + -5x + 7x2 + (-15 * -1 + 6x2 * -1) = 0 25 + -5x + 7x2 + (15 + -6x2) = 0 Reorder the terms: 25 + 15 + -5x + 7x2 + -6x2 = 0 Combine like terms: 25 + 15 = 40 40 + -5x + 7x2 + -6x2 = 0 Combine like terms: 7x2 + -6x2 = 1x2 40 + -5x + 1x2 = 0 Solving 40 + -5x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -5x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -5x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -5x + x2 = 0 + -40 -5x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -5x + x2 = -40 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -40 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -40 + 6.25 Combine like terms: -40 + 6.25 = -33.75 6.25 + -5x + x2 = -33.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -33.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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