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Simplifying x2 + 3x + -70 = x + -410 Reorder the terms: -70 + 3x + x2 = x + -410 Reorder the terms: -70 + 3x + x2 = -410 + x Solving -70 + 3x + x2 = -410 + x Solving for variable 'x'. Reorder the terms: -70 + 410 + 3x + -1x + x2 = -410 + x + 410 + -1x Combine like terms: -70 + 410 = 340 340 + 3x + -1x + x2 = -410 + x + 410 + -1x Combine like terms: 3x + -1x = 2x 340 + 2x + x2 = -410 + x + 410 + -1x Reorder the terms: 340 + 2x + x2 = -410 + 410 + x + -1x Combine like terms: -410 + 410 = 0 340 + 2x + x2 = 0 + x + -1x 340 + 2x + x2 = x + -1x Combine like terms: x + -1x = 0 340 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-340' to each side of the equation. 340 + 2x + -340 + x2 = 0 + -340 Reorder the terms: 340 + -340 + 2x + x2 = 0 + -340 Combine like terms: 340 + -340 = 0 0 + 2x + x2 = 0 + -340 2x + x2 = 0 + -340 Combine like terms: 0 + -340 = -340 2x + x2 = -340 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -340 + 1 Reorder the terms: 1 + 2x + x2 = -340 + 1 Combine like terms: -340 + 1 = -339 1 + 2x + x2 = -339 Factor a perfect square on the left side: (x + 1)(x + 1) = -339 Can't calculate square root of the right side. The solution to this equation could not be determined.
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