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Simplifying x2 + -66x + 144 = 0 Reorder the terms: 144 + -66x + x2 = 0 Solving 144 + -66x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-144' to each side of the equation. 144 + -66x + -144 + x2 = 0 + -144 Reorder the terms: 144 + -144 + -66x + x2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -66x + x2 = 0 + -144 -66x + x2 = 0 + -144 Combine like terms: 0 + -144 = -144 -66x + x2 = -144 The x term is -66x. Take half its coefficient (-33). Square it (1089) and add it to both sides. Add '1089' to each side of the equation. -66x + 1089 + x2 = -144 + 1089 Reorder the terms: 1089 + -66x + x2 = -144 + 1089 Combine like terms: -144 + 1089 = 945 1089 + -66x + x2 = 945 Factor a perfect square on the left side: (x + -33)(x + -33) = 945 Calculate the square root of the right side: 30.740852298 Break this problem into two subproblems by setting (x + -33) equal to 30.740852298 and -30.740852298.Subproblem 1
x + -33 = 30.740852298 Simplifying x + -33 = 30.740852298 Reorder the terms: -33 + x = 30.740852298 Solving -33 + x = 30.740852298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + x = 30.740852298 + 33 Combine like terms: -33 + 33 = 0 0 + x = 30.740852298 + 33 x = 30.740852298 + 33 Combine like terms: 30.740852298 + 33 = 63.740852298 x = 63.740852298 Simplifying x = 63.740852298Subproblem 2
x + -33 = -30.740852298 Simplifying x + -33 = -30.740852298 Reorder the terms: -33 + x = -30.740852298 Solving -33 + x = -30.740852298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + x = -30.740852298 + 33 Combine like terms: -33 + 33 = 0 0 + x = -30.740852298 + 33 x = -30.740852298 + 33 Combine like terms: -30.740852298 + 33 = 2.259147702 x = 2.259147702 Simplifying x = 2.259147702Solution
The solution to the problem is based on the solutions from the subproblems. x = {63.740852298, 2.259147702}
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