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Simplifying (x2) + -1(6 * 5x) + -9 = 0 x2 + -1(6 * 5x) + -9 = 0 Multiply 6 * 5 x2 + -1(30x) + -9 = 0 Remove parenthesis around (30x) x2 + -1 * 30x + -9 = 0 Multiply -1 * 30 x2 + -30x + -9 = 0 Reorder the terms: -9 + -30x + x2 = 0 Solving -9 + -30x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '9' to each side of the equation. -9 + -30x + 9 + x2 = 0 + 9 Reorder the terms: -9 + 9 + -30x + x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -30x + x2 = 0 + 9 -30x + x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -30x + x2 = 9 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 = 9 + 225 Reorder the terms: 225 + -30x + x2 = 9 + 225 Combine like terms: 9 + 225 = 234 225 + -30x + x2 = 234 Factor a perfect square on the left side: (x + -15)(x + -15) = 234 Calculate the square root of the right side: 15.297058541 Break this problem into two subproblems by setting (x + -15) equal to 15.297058541 and -15.297058541.Subproblem 1
x + -15 = 15.297058541 Simplifying x + -15 = 15.297058541 Reorder the terms: -15 + x = 15.297058541 Solving -15 + x = 15.297058541 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 = 15.297058541 + 15 Combine like terms: -15 + 15 = 0 0 + x = 15.297058541 + 15 x = 15.297058541 + 15 Combine like terms: 15.297058541 + 15 = 30.297058541 x = 30.297058541 Simplifying x = 30.297058541Subproblem 2
x + -15 = -15.297058541 Simplifying x + -15 = -15.297058541 Reorder the terms: -15 + x = -15.297058541 Solving -15 + x = -15.297058541 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 = -15.297058541 + 15 Combine like terms: -15 + 15 = 0 0 + x = -15.297058541 + 15 x = -15.297058541 + 15 Combine like terms: -15.297058541 + 15 = -0.297058541 x = -0.297058541 Simplifying x = -0.297058541Solution
The solution to the problem is based on the solutions from the subproblems. x = {30.297058541, -0.297058541}
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