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Simplifying 7x(x + -3) + -6x(x + -5) = -50 Reorder the terms: 7x(-3 + x) + -6x(x + -5) = -50 (-3 * 7x + x * 7x) + -6x(x + -5) = -50 (-21x + 7x2) + -6x(x + -5) = -50 Reorder the terms: -21x + 7x2 + -6x(-5 + x) = -50 -21x + 7x2 + (-5 * -6x + x * -6x) = -50 -21x + 7x2 + (30x + -6x2) = -50 Reorder the terms: -21x + 30x + 7x2 + -6x2 = -50 Combine like terms: -21x + 30x = 9x 9x + 7x2 + -6x2 = -50 Combine like terms: 7x2 + -6x2 = 1x2 9x + 1x2 = -50 Solving 9x + 1x2 = -50 Solving for variable 'x'. Reorder the terms: 50 + 9x + 1x2 = -50 + 50 Combine like terms: -50 + 50 = 0 50 + 9x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + 9x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + 9x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 9x + x2 = 0 + -50 9x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 9x + x2 = -50 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -50 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -50 + 20.25 Combine like terms: -50 + 20.25 = -29.75 20.25 + 9x + x2 = -29.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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