If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9x2 + -108x + 309 = 0 Reorder the terms: 309 + -108x + 9x2 = 0 Solving 309 + -108x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(103 + -36x + 3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(103 + -36x + 3x2)' equal to zero and attempt to solve: Simplifying 103 + -36x + 3x2 = 0 Solving 103 + -36x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 34.33333333 + -12x + x2 = 0 Move the constant term to the right: Add '-34.33333333' to each side of the equation. 34.33333333 + -12x + -34.33333333 + x2 = 0 + -34.33333333 Reorder the terms: 34.33333333 + -34.33333333 + -12x + x2 = 0 + -34.33333333 Combine like terms: 34.33333333 + -34.33333333 = 0.00000000 0.00000000 + -12x + x2 = 0 + -34.33333333 -12x + x2 = 0 + -34.33333333 Combine like terms: 0 + -34.33333333 = -34.33333333 -12x + x2 = -34.33333333 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -34.33333333 + 36 Reorder the terms: 36 + -12x + x2 = -34.33333333 + 36 Combine like terms: -34.33333333 + 36 = 1.66666667 36 + -12x + x2 = 1.66666667 Factor a perfect square on the left side: (x + -6)(x + -6) = 1.66666667 Calculate the square root of the right side: 1.29099445 Break this problem into two subproblems by setting (x + -6) equal to 1.29099445 and -1.29099445.Subproblem 1
x + -6 = 1.29099445 Simplifying x + -6 = 1.29099445 Reorder the terms: -6 + x = 1.29099445 Solving -6 + x = 1.29099445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 1.29099445 + 6 Combine like terms: -6 + 6 = 0 0 + x = 1.29099445 + 6 x = 1.29099445 + 6 Combine like terms: 1.29099445 + 6 = 7.29099445 x = 7.29099445 Simplifying x = 7.29099445Subproblem 2
x + -6 = -1.29099445 Simplifying x + -6 = -1.29099445 Reorder the terms: -6 + x = -1.29099445 Solving -6 + x = -1.29099445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -1.29099445 + 6 Combine like terms: -6 + 6 = 0 0 + x = -1.29099445 + 6 x = -1.29099445 + 6 Combine like terms: -1.29099445 + 6 = 4.70900555 x = 4.70900555 Simplifying x = 4.70900555Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.29099445, 4.70900555}Solution
x = {7.29099445, 4.70900555}
| 4x-4(5x+4)=2x+2 | | (2*x^2)-(9*x)-5=0 | | 22+(-8)= | | 2v^2-17v+34-2v-4=0 | | 2u^2-5u-3=0 | | -17mn+4mn-mn+10mn= | | -12(x-9)=-6(8-3x) | | 6+6k=48 | | .2x^2+.5x^2-.1x^2= | | 3u^2+u-2=0 | | 2v^2-17v+34=v-4v^2 | | 10.2y-7.8y=-58 | | (x+10)(x-8)= | | 8r-2=9+7x | | 17w-18u-18w+17= | | 4x(9-3x)=8x-1 | | 32/16=x/4 | | y^6-7y^3-6=-12 | | (2x+1)(5x-4)=0 | | 12x-16y-4x-10y= | | -(f+3g-7)= | | 10x+20=1800-20 | | 3-5x=-27 | | -(f+g-7)= | | -.75x+.25x=-12 | | 4x^2+16-34x=0 | | n+3n=156 | | 3x^2-12x+12-x-2=10 | | 9(x+8)+5=77 | | 12+4(x-3)=6(5-x) | | 17+(-3y)=-4 | | -2.5x=-3.75 |