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Simplifying (x + 10)(x + -4) = 4 + x2 Reorder the terms: (10 + x)(x + -4) = 4 + x2 Reorder the terms: (10 + x)(-4 + x) = 4 + x2 Multiply (10 + x) * (-4 + x) (10(-4 + x) + x(-4 + x)) = 4 + x2 ((-4 * 10 + x * 10) + x(-4 + x)) = 4 + x2 ((-40 + 10x) + x(-4 + x)) = 4 + x2 (-40 + 10x + (-4 * x + x * x)) = 4 + x2 (-40 + 10x + (-4x + x2)) = 4 + x2 Combine like terms: 10x + -4x = 6x (-40 + 6x + x2) = 4 + x2 Add '-1x2' to each side of the equation. -40 + 6x + x2 + -1x2 = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + 6x + 0 = 4 + x2 + -1x2 -40 + 6x = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + 6x = 4 + 0 -40 + 6x = 4 Solving -40 + 6x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 6x = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 4 + 40 6x = 4 + 40 Combine like terms: 4 + 40 = 44 6x = 44 Divide each side by '6'. x = 7.333333333 Simplifying x = 7.333333333
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