If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 32x2 + -36x + -27 = 0 Reorder the terms: -27 + -36x + 32x2 = 0 Solving -27 + -36x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. -0.84375 + -1.125x + x2 = 0 Move the constant term to the right: Add '0.84375' to each side of the equation. -0.84375 + -1.125x + 0.84375 + x2 = 0 + 0.84375 Reorder the terms: -0.84375 + 0.84375 + -1.125x + x2 = 0 + 0.84375 Combine like terms: -0.84375 + 0.84375 = 0.00000 0.00000 + -1.125x + x2 = 0 + 0.84375 -1.125x + x2 = 0 + 0.84375 Combine like terms: 0 + 0.84375 = 0.84375 -1.125x + x2 = 0.84375 The x term is -1.125x. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125x + 0.31640625 + x2 = 0.84375 + 0.31640625 Reorder the terms: 0.31640625 + -1.125x + x2 = 0.84375 + 0.31640625 Combine like terms: 0.84375 + 0.31640625 = 1.16015625 0.31640625 + -1.125x + x2 = 1.16015625 Factor a perfect square on the left side: (x + -0.5625)(x + -0.5625) = 1.16015625 Calculate the square root of the right side: 1.077105496 Break this problem into two subproblems by setting (x + -0.5625) equal to 1.077105496 and -1.077105496.Subproblem 1
x + -0.5625 = 1.077105496 Simplifying x + -0.5625 = 1.077105496 Reorder the terms: -0.5625 + x = 1.077105496 Solving -0.5625 + x = 1.077105496 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5625' to each side of the equation. -0.5625 + 0.5625 + x = 1.077105496 + 0.5625 Combine like terms: -0.5625 + 0.5625 = 0.0000 0.0000 + x = 1.077105496 + 0.5625 x = 1.077105496 + 0.5625 Combine like terms: 1.077105496 + 0.5625 = 1.639605496 x = 1.639605496 Simplifying x = 1.639605496Subproblem 2
x + -0.5625 = -1.077105496 Simplifying x + -0.5625 = -1.077105496 Reorder the terms: -0.5625 + x = -1.077105496 Solving -0.5625 + x = -1.077105496 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5625' to each side of the equation. -0.5625 + 0.5625 + x = -1.077105496 + 0.5625 Combine like terms: -0.5625 + 0.5625 = 0.0000 0.0000 + x = -1.077105496 + 0.5625 x = -1.077105496 + 0.5625 Combine like terms: -1.077105496 + 0.5625 = -0.514605496 x = -0.514605496 Simplifying x = -0.514605496Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.639605496, -0.514605496}
| x^2+9+10=0 | | x^4-9x^3+18x^2+7x-3=0 | | 18y^2-y+303= | | 2x+4=4x-11 | | 8+3(1+4b)=24 | | 35y+5=60 | | 36a^2-a+288= | | 35*400= | | -6c+15c= | | 30*300= | | 13y=188.5 | | 3x+5y-16= | | 7a-6c-9a+15c= | | 5(7+6a)=24 | | 4x+10=-16 | | -8-9p^2=-124 | | 3x^2-25x=-8 | | 6v^2-54=0 | | -3(r+6)=-59 | | -4(7-8x)=47 | | 21546=6a | | -2n-8+4=33 | | 4X-16=136 | | x+3x+2x=11 | | 3k^2-10=290 | | -2x+4+3(x+2)=x+10 | | 13=8x+1-6x | | -2z+3-5z=18 | | 65x^5-91x^3= | | 30-2x=3xd | | 9x^2-8=-97 | | 5x-21= |