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Simplifying x(x + -4) = x2 + 3x + 4 Reorder the terms: x(-4 + x) = x2 + 3x + 4 (-4 * x + x * x) = x2 + 3x + 4 (-4x + x2) = x2 + 3x + 4 Reorder the terms: -4x + x2 = 4 + 3x + x2 Add '-1x2' to each side of the equation. -4x + x2 + -1x2 = 4 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x + 0 = 4 + 3x + x2 + -1x2 -4x = 4 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x = 4 + 3x + 0 -4x = 4 + 3x Solving -4x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4x + -3x = 4 + 3x + -3x Combine like terms: -4x + -3x = -7x -7x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -7x = 4 + 0 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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