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Simplifying x(x + -6) = x2 + 4x + 9 Reorder the terms: x(-6 + x) = x2 + 4x + 9 (-6 * x + x * x) = x2 + 4x + 9 (-6x + x2) = x2 + 4x + 9 Reorder the terms: -6x + x2 = 9 + 4x + x2 Add '-1x2' to each side of the equation. -6x + x2 + -1x2 = 9 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x + 0 = 9 + 4x + x2 + -1x2 -6x = 9 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x = 9 + 4x + 0 -6x = 9 + 4x Solving -6x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6x + -4x = 9 + 4x + -4x Combine like terms: -6x + -4x = -10x -10x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -10x = 9 + 0 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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