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Simplifying 0.5x2 + x + -4 = 0.5(x + -2)(x + 4) Reorder the terms: -4 + x + 0.5x2 = 0.5(x + -2)(x + 4) Reorder the terms: -4 + x + 0.5x2 = 0.5(-2 + x)(x + 4) Reorder the terms: -4 + x + 0.5x2 = 0.5(-2 + x)(4 + x) Multiply (-2 + x) * (4 + x) -4 + x + 0.5x2 = 0.5(-2(4 + x) + x(4 + x)) -4 + x + 0.5x2 = 0.5((4 * -2 + x * -2) + x(4 + x)) -4 + x + 0.5x2 = 0.5((-8 + -2x) + x(4 + x)) -4 + x + 0.5x2 = 0.5(-8 + -2x + (4 * x + x * x)) -4 + x + 0.5x2 = 0.5(-8 + -2x + (4x + x2)) Combine like terms: -2x + 4x = 2x -4 + x + 0.5x2 = 0.5(-8 + 2x + x2) -4 + x + 0.5x2 = (-8 * 0.5 + 2x * 0.5 + x2 * 0.5) -4 + x + 0.5x2 = (-4 + 1x + 0.5x2) Add '4' to each side of the equation. -4 + x + 4 + 0.5x2 = -4 + 1x + 4 + 0.5x2 Reorder the terms: -4 + 4 + x + 0.5x2 = -4 + 1x + 4 + 0.5x2 Combine like terms: -4 + 4 = 0 0 + x + 0.5x2 = -4 + 1x + 4 + 0.5x2 x + 0.5x2 = -4 + 1x + 4 + 0.5x2 Reorder the terms: x + 0.5x2 = -4 + 4 + 1x + 0.5x2 Combine like terms: -4 + 4 = 0 x + 0.5x2 = 0 + 1x + 0.5x2 x + 0.5x2 = 1x + 0.5x2 Add '-0.5x2' to each side of the equation. x + 0.5x2 + -0.5x2 = 1x + 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 x + 0.0 = 1x + 0.5x2 + -0.5x2 x = 1x + 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 x = 1x + 0.0 x = 1x Solving x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 1x + -1x Combine like terms: x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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