If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + -43x + 51 = 0 Reorder the terms: 51 + -43x + 2x2 = 0 Solving 51 + -43x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 25.5 + -21.5x + x2 = 0 Move the constant term to the right: Add '-25.5' to each side of the equation. 25.5 + -21.5x + -25.5 + x2 = 0 + -25.5 Reorder the terms: 25.5 + -25.5 + -21.5x + x2 = 0 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + -21.5x + x2 = 0 + -25.5 -21.5x + x2 = 0 + -25.5 Combine like terms: 0 + -25.5 = -25.5 -21.5x + x2 = -25.5 The x term is -21.5x. Take half its coefficient (-10.75). Square it (115.5625) and add it to both sides. Add '115.5625' to each side of the equation. -21.5x + 115.5625 + x2 = -25.5 + 115.5625 Reorder the terms: 115.5625 + -21.5x + x2 = -25.5 + 115.5625 Combine like terms: -25.5 + 115.5625 = 90.0625 115.5625 + -21.5x + x2 = 90.0625 Factor a perfect square on the left side: (x + -10.75)(x + -10.75) = 90.0625 Calculate the square root of the right side: 9.490126448 Break this problem into two subproblems by setting (x + -10.75) equal to 9.490126448 and -9.490126448.Subproblem 1
x + -10.75 = 9.490126448 Simplifying x + -10.75 = 9.490126448 Reorder the terms: -10.75 + x = 9.490126448 Solving -10.75 + x = 9.490126448 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.75' to each side of the equation. -10.75 + 10.75 + x = 9.490126448 + 10.75 Combine like terms: -10.75 + 10.75 = 0.00 0.00 + x = 9.490126448 + 10.75 x = 9.490126448 + 10.75 Combine like terms: 9.490126448 + 10.75 = 20.240126448 x = 20.240126448 Simplifying x = 20.240126448Subproblem 2
x + -10.75 = -9.490126448 Simplifying x + -10.75 = -9.490126448 Reorder the terms: -10.75 + x = -9.490126448 Solving -10.75 + x = -9.490126448 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.75' to each side of the equation. -10.75 + 10.75 + x = -9.490126448 + 10.75 Combine like terms: -10.75 + 10.75 = 0.00 0.00 + x = -9.490126448 + 10.75 x = -9.490126448 + 10.75 Combine like terms: -9.490126448 + 10.75 = 1.259873552 x = 1.259873552 Simplifying x = 1.259873552Solution
The solution to the problem is based on the solutions from the subproblems. x = {20.240126448, 1.259873552}
| 5(t-2)=15 | | s^2-10=0 | | 3x-8=505 | | -65/-13 | | 2m+2m+2m=180 | | 1088/4[(27)-(-7)]-27 | | 3a^2-14a+8=0 | | -1+18x-54x^2+54x^3=0 | | 64^1/3=x | | (17)4+(x)4=49 | | ydy=e^2x/3e^2x | | 18b^2-10b+27b-15=0 | | 4x+7y=189 | | 21s^2-15s+28s-20=0 | | 33/55 | | 14x-15=90 | | 8x+7y=46 | | c=5(x^2+4xy)+430xy | | x+-20=100 | | 7x-11=13x+4 | | 1.5+3x=12.5-4x | | 10x-6=7x+13 | | 16p+30q+18r= | | 2x-19=35 | | 6m^2+4m-16=0 | | -2(5-2a)=56 | | 4(4y+2)=70 | | 6n+12+2n-8=-4 | | 5.2x+57.9=15.9+1.8x | | 4y-2x-z-4=0 | | 5(2m-23)=25 | | x(-7)+5=2 |