If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x2 + -6x + 18) + -1(8x2 + -11x + -5) = 0 Reorder the terms: (18 + -6x + 2x2) + -1(8x2 + -11x + -5) = 0 Remove parenthesis around (18 + -6x + 2x2) 18 + -6x + 2x2 + -1(8x2 + -11x + -5) = 0 Reorder the terms: 18 + -6x + 2x2 + -1(-5 + -11x + 8x2) = 0 18 + -6x + 2x2 + (-5 * -1 + -11x * -1 + 8x2 * -1) = 0 18 + -6x + 2x2 + (5 + 11x + -8x2) = 0 Reorder the terms: 18 + 5 + -6x + 11x + 2x2 + -8x2 = 0 Combine like terms: 18 + 5 = 23 23 + -6x + 11x + 2x2 + -8x2 = 0 Combine like terms: -6x + 11x = 5x 23 + 5x + 2x2 + -8x2 = 0 Combine like terms: 2x2 + -8x2 = -6x2 23 + 5x + -6x2 = 0 Solving 23 + 5x + -6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. -3.833333333 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '3.833333333' to each side of the equation. -3.833333333 + -0.8333333333x + 3.833333333 + x2 = 0 + 3.833333333 Reorder the terms: -3.833333333 + 3.833333333 + -0.8333333333x + x2 = 0 + 3.833333333 Combine like terms: -3.833333333 + 3.833333333 = 0.000000000 0.000000000 + -0.8333333333x + x2 = 0 + 3.833333333 -0.8333333333x + x2 = 0 + 3.833333333 Combine like terms: 0 + 3.833333333 = 3.833333333 -0.8333333333x + x2 = 3.833333333 The x term is -0.8333333333x. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333x + 0.1736111111 + x2 = 3.833333333 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = 3.833333333 + 0.1736111111 Combine like terms: 3.833333333 + 0.1736111111 = 4.0069444441 0.1736111111 + -0.8333333333x + x2 = 4.0069444441 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = 4.0069444441 Calculate the square root of the right side: 2.001735358 Break this problem into two subproblems by setting (x + -0.4166666667) equal to 2.001735358 and -2.001735358.Subproblem 1
x + -0.4166666667 = 2.001735358 Simplifying x + -0.4166666667 = 2.001735358 Reorder the terms: -0.4166666667 + x = 2.001735358 Solving -0.4166666667 + x = 2.001735358 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4166666667' to each side of the equation. -0.4166666667 + 0.4166666667 + x = 2.001735358 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = 2.001735358 + 0.4166666667 x = 2.001735358 + 0.4166666667 Combine like terms: 2.001735358 + 0.4166666667 = 2.4184020247 x = 2.4184020247 Simplifying x = 2.4184020247Subproblem 2
x + -0.4166666667 = -2.001735358 Simplifying x + -0.4166666667 = -2.001735358 Reorder the terms: -0.4166666667 + x = -2.001735358 Solving -0.4166666667 + x = -2.001735358 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4166666667' to each side of the equation. -0.4166666667 + 0.4166666667 + x = -2.001735358 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = -2.001735358 + 0.4166666667 x = -2.001735358 + 0.4166666667 Combine like terms: -2.001735358 + 0.4166666667 = -1.5850686913 x = -1.5850686913 Simplifying x = -1.5850686913Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.4184020247, -1.5850686913}
| (2x^2-6x+18)-(8x^2-11x-4)= | | X^2-9= | | (6x^2+5x-15)+(10x+15)= | | 3n^2+19=382 | | 3x^2-12x+8=0 | | 0=12x^2-1 | | 3t=t^2-28 | | 3t=r^2-28 | | x^2+4x+11=14 | | 12x^4+7x^3+2x^2+7x-10=0 | | m^2+8m+12=0 | | x^2-7x-12=0 | | x^2+8x+16=0 | | x^2+8x+24=0 | | x^2+11x+24=0 | | x^2+6x+27=0 | | p^2-p-30=0 | | x^2+4x-32=0 | | m^2+m-20=0 | | x^2-x-45=0 | | x^2+2x-24=0 | | x^2+10x+21=0 | | x^2+4x+12=0 | | x^2+11x+28=0 | | x^2+13x+30=0 | | x^2+x-6=0 | | x^2-7x+12=0 | | x^2+2x-15=0 | | x^2-6x=0 | | 7-3X=8X^2 | | 112x-16x^2=0 | | 2x^2=72 |