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Simplifying 100(3.41) + 60(12.77) = x(x) Multiply 100 * 3.41 341 + 60(12.77) = x(x) Multiply 60 * 12.77 341 + 766.2 = x(x) Combine like terms: 341 + 766.2 = 1107.2 1107.2 = x(x) Multiply x * x 1107.2 = x2 Solving 1107.2 = x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 1107.2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1107.2 + -1x2 = 0 Add '-1107.2' to each side of the equation. 1107.2 + -1107.2 + -1x2 = 0 + -1107.2 Combine like terms: 1107.2 + -1107.2 = 0.0 0.0 + -1x2 = 0 + -1107.2 -1x2 = 0 + -1107.2 Combine like terms: 0 + -1107.2 = -1107.2 -1x2 = -1107.2 Divide each side by '-1'. x2 = 1107.2 Simplifying x2 = 1107.2 Take the square root of each side: x = {-33.274614949, 33.274614949}
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