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Simplifying (x * x) + -7 = (x * x) + -6x + -7 Multiply x * x (x2) + -7 = (x * x) + -6x + -7 x2 + -7 = (x * x) + -6x + -7 Reorder the terms: -7 + x2 = (x * x) + -6x + -7 Multiply x * x -7 + x2 = (x2) + -6x + -7 -7 + x2 = x2 + -6x + -7 Reorder the terms: -7 + x2 = -7 + -6x + x2 Add '7' to each side of the equation. -7 + 7 + x2 = -7 + -6x + 7 + x2 Combine like terms: -7 + 7 = 0 0 + x2 = -7 + -6x + 7 + x2 x2 = -7 + -6x + 7 + x2 Reorder the terms: x2 = -7 + 7 + -6x + x2 Combine like terms: -7 + 7 = 0 x2 = 0 + -6x + x2 x2 = -6x + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -6x + 0 0 = -6x Solving 0 = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 0 + 6x = -6x + 6x Remove the zero: 6x = -6x + 6x Combine like terms: -6x + 6x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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