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Simplifying 1.5x2 + 10x + 16 = 0.5x2 + 6x Reorder the terms: 16 + 10x + 1.5x2 = 0.5x2 + 6x Reorder the terms: 16 + 10x + 1.5x2 = 6x + 0.5x2 Solving 16 + 10x + 1.5x2 = 6x + 0.5x2 Solving for variable 'x'. Reorder the terms: 16 + 10x + -6x + 1.5x2 + -0.5x2 = 6x + 0.5x2 + -6x + -0.5x2 Combine like terms: 10x + -6x = 4x 16 + 4x + 1.5x2 + -0.5x2 = 6x + 0.5x2 + -6x + -0.5x2 Combine like terms: 1.5x2 + -0.5x2 = 1x2 16 + 4x + 1x2 = 6x + 0.5x2 + -6x + -0.5x2 Reorder the terms: 16 + 4x + 1x2 = 6x + -6x + 0.5x2 + -0.5x2 Combine like terms: 6x + -6x = 0 16 + 4x + 1x2 = 0 + 0.5x2 + -0.5x2 16 + 4x + 1x2 = 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 16 + 4x + 1x2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 4x + -16 + x2 = 0.0 + -16 Reorder the terms: 16 + -16 + 4x + x2 = 0.0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x + x2 = 0.0 + -16 4x + x2 = 0.0 + -16 Combine like terms: 0.0 + -16 = -16 4x + x2 = -16 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -16 + 4 Reorder the terms: 4 + 4x + x2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + 4x + x2 = -12 Factor a perfect square on the left side: (x + 2)(x + 2) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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