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Simplifying x2 + -6x + 10 = x(x + 4) Reorder the terms: 10 + -6x + x2 = x(x + 4) Reorder the terms: 10 + -6x + x2 = x(4 + x) 10 + -6x + x2 = (4 * x + x * x) 10 + -6x + x2 = (4x + x2) Add '-1x2' to each side of the equation. 10 + -6x + x2 + -1x2 = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -6x + 0 = 4x + x2 + -1x2 10 + -6x = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -6x = 4x + 0 10 + -6x = 4x Solving 10 + -6x = 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. 10 + -6x + -4x = 4x + -4x Combine like terms: -6x + -4x = -10x 10 + -10x = 4x + -4x Combine like terms: 4x + -4x = 0 10 + -10x = 0 Add '-10' to each side of the equation. 10 + -10 + -10x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 0 + -10 -10x = 0 + -10 Combine like terms: 0 + -10 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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