If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + -18x + 78 = 0 Reorder the terms: 78 + -18x + x2 = 0 Solving 78 + -18x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-78' to each side of the equation. 78 + -18x + -78 + x2 = 0 + -78 Reorder the terms: 78 + -78 + -18x + x2 = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -18x + x2 = 0 + -78 -18x + x2 = 0 + -78 Combine like terms: 0 + -78 = -78 -18x + x2 = -78 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -78 + 81 Reorder the terms: 81 + -18x + x2 = -78 + 81 Combine like terms: -78 + 81 = 3 81 + -18x + x2 = 3 Factor a perfect square on the left side: (x + -9)(x + -9) = 3 Calculate the square root of the right side: 1.732050808 Break this problem into two subproblems by setting (x + -9) equal to 1.732050808 and -1.732050808.Subproblem 1
x + -9 = 1.732050808 Simplifying x + -9 = 1.732050808 Reorder the terms: -9 + x = 1.732050808 Solving -9 + x = 1.732050808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 1.732050808 + 9 Combine like terms: -9 + 9 = 0 0 + x = 1.732050808 + 9 x = 1.732050808 + 9 Combine like terms: 1.732050808 + 9 = 10.732050808 x = 10.732050808 Simplifying x = 10.732050808Subproblem 2
x + -9 = -1.732050808 Simplifying x + -9 = -1.732050808 Reorder the terms: -9 + x = -1.732050808 Solving -9 + x = -1.732050808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = -1.732050808 + 9 Combine like terms: -9 + 9 = 0 0 + x = -1.732050808 + 9 x = -1.732050808 + 9 Combine like terms: -1.732050808 + 9 = 7.267949192 x = 7.267949192 Simplifying x = 7.267949192Solution
The solution to the problem is based on the solutions from the subproblems. x = {10.732050808, 7.267949192}
| (x-5)2=144 | | 1x+2+2x= | | 2(x-3)-3(x-2)=x+2-(x-2) | | 10-x=8x+3 | | 12a^3+10a^2-12a=0 | | 8.1+3.8-5.6h=-7.2 | | 3*4+14-5-(-2)*7=-23 | | 9(d-4)=5d+14 | | 3x+(2x-7)=8 | | 3*4+14-5+2*7=-23 | | 4x-12+7=9x+35+5 | | -1x-10x= | | .16d+.66=.25(d-2) | | 7b+5-(-7b)-2=-8 | | 3(2x-5)-4x-27=7(x+14) | | -6w+12=2(3w-4) | | 1x-10+9x-3= | | q-2(2-q)=0 | | -3(5+x)=-9 | | 9k^2+6k-22=8k^2+k-8 | | 29-(x+7)=8x-5 | | -4(m+5)=6(m+15) | | 7x-(5x-6)=24 | | -6(x-3)=-x-6(x-3) | | 0.02(n-450)=107 | | x^2-18=9x+34 | | 10.8+7.3x=24.9 | | 9r^2+18r+8=0 | | 6x^2-6y^2=0 | | 7y+14-2y=94 | | 99x+3=80 | | 13+3x=-6x+4 |