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Simplifying x2 + -30x + -4 = 0 Reorder the terms: -4 + -30x + x2 = 0 Solving -4 + -30x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '4' to each side of the equation. -4 + -30x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -30x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -30x + x2 = 0 + 4 -30x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -30x + x2 = 4 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = 4 + 225 Reorder the terms: 225 + -30x + x2 = 4 + 225 Combine like terms: 4 + 225 = 229 225 + -30x + x2 = 229 Factor a perfect square on the left side: (x + -15)(x + -15) = 229 Calculate the square root of the right side: 15.13274595 Break this problem into two subproblems by setting (x + -15) equal to 15.13274595 and -15.13274595.Subproblem 1
x + -15 = 15.13274595 Simplifying x + -15 = 15.13274595 Reorder the terms: -15 + x = 15.13274595 Solving -15 + x = 15.13274595 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 15.13274595 + 15 Combine like terms: -15 + 15 = 0 0 + x = 15.13274595 + 15 x = 15.13274595 + 15 Combine like terms: 15.13274595 + 15 = 30.13274595 x = 30.13274595 Simplifying x = 30.13274595Subproblem 2
x + -15 = -15.13274595 Simplifying x + -15 = -15.13274595 Reorder the terms: -15 + x = -15.13274595 Solving -15 + x = -15.13274595 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = -15.13274595 + 15 Combine like terms: -15 + 15 = 0 0 + x = -15.13274595 + 15 x = -15.13274595 + 15 Combine like terms: -15.13274595 + 15 = -0.13274595 x = -0.13274595 Simplifying x = -0.13274595Solution
The solution to the problem is based on the solutions from the subproblems. x = {30.13274595, -0.13274595}
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