If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x + x2 = 54 Solving x + x2 = 54 Solving for variable 'x'. Reorder the terms: -54 + x + x2 = 54 + -54 Combine like terms: 54 + -54 = 0 -54 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '54' to each side of the equation. -54 + x + 54 + x2 = 0 + 54 Reorder the terms: -54 + 54 + x + x2 = 0 + 54 Combine like terms: -54 + 54 = 0 0 + x + x2 = 0 + 54 x + x2 = 0 + 54 Combine like terms: 0 + 54 = 54 x + x2 = 54 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = 54 + 0.25 Reorder the terms: 0.25 + x + x2 = 54 + 0.25 Combine like terms: 54 + 0.25 = 54.25 0.25 + x + x2 = 54.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 54.25 Calculate the square root of the right side: 7.365459931 Break this problem into two subproblems by setting (x + 0.5) equal to 7.365459931 and -7.365459931.Subproblem 1
x + 0.5 = 7.365459931 Simplifying x + 0.5 = 7.365459931 Reorder the terms: 0.5 + x = 7.365459931 Solving 0.5 + x = 7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 7.365459931 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 7.365459931 + -0.5 x = 7.365459931 + -0.5 Combine like terms: 7.365459931 + -0.5 = 6.865459931 x = 6.865459931 Simplifying x = 6.865459931Subproblem 2
x + 0.5 = -7.365459931 Simplifying x + 0.5 = -7.365459931 Reorder the terms: 0.5 + x = -7.365459931 Solving 0.5 + x = -7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -7.365459931 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -7.365459931 + -0.5 x = -7.365459931 + -0.5 Combine like terms: -7.365459931 + -0.5 = -7.865459931 x = -7.865459931 Simplifying x = -7.865459931Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.865459931, -7.865459931}
| -3x-2y+z=4 | | -3x+2y+z=1 | | 14(x+2)-17(y-8)+47= | | 2g-10+8g=1-g | | 3z/7-5=0 | | 21y+6= | | 7/6r-9=1/6r | | (7b-8)-3(2b+2)=-3 | | -3(7p+3)-2(4-14p)=3(9+2p) | | z+11.6=-7.3 | | 10x+4x+2+8=11x+3+2x | | 2y-4y=8 | | 5x-9x+6=0 | | (xy+z)p+(1-y^2)=x+yz | | 4*s^3+12*s^2+10*s=0 | | 4*s^2+12*s^2+10*s=0 | | 3a+12=24 | | 1.5q-2.9-1.8q=-1.3q-5.7 | | 2e^2x-6=2 | | 5.5q-1.9-4.6q=-0.1q-5.3 | | 3c+36=-3c-12 | | 4g-32+16g=1-g | | 5x+7(x+4)=172 | | 4c+16=-4c-16 | | 4g-10+10g=1-g | | 2g-6+8g=1-g | | y=px+p^3 | | 7x^2+16x+15= | | 7+8d=55 | | -5000+0.5X+0.8Y=0 | | 7k-9=3k+7 | | 3x+68=-3x+2 |