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Simplifying 3x2 + -8x + 50 = 2x(x + -3) Reorder the terms: 50 + -8x + 3x2 = 2x(x + -3) Reorder the terms: 50 + -8x + 3x2 = 2x(-3 + x) 50 + -8x + 3x2 = (-3 * 2x + x * 2x) 50 + -8x + 3x2 = (-6x + 2x2) Solving 50 + -8x + 3x2 = -6x + 2x2 Solving for variable 'x'. Reorder the terms: 50 + -8x + 6x + 3x2 + -2x2 = -6x + 2x2 + 6x + -2x2 Combine like terms: -8x + 6x = -2x 50 + -2x + 3x2 + -2x2 = -6x + 2x2 + 6x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 50 + -2x + 1x2 = -6x + 2x2 + 6x + -2x2 Reorder the terms: 50 + -2x + 1x2 = -6x + 6x + 2x2 + -2x2 Combine like terms: -6x + 6x = 0 50 + -2x + 1x2 = 0 + 2x2 + -2x2 50 + -2x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 50 + -2x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -2x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + -2x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -2x + x2 = 0 + -50 -2x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 -2x + x2 = -50 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 = -50 + 1 Reorder the terms: 1 + -2x + x2 = -50 + 1 Combine like terms: -50 + 1 = -49 1 + -2x + x2 = -49 Factor a perfect square on the left side: (x + -1)(x + -1) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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