If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x(x + 1) = 120 Reorder the terms: x(1 + x) = 120 (1 * x + x * x) = 120 (1x + x2) = 120 Solving 1x + x2 = 120 Solving for variable 'x'. Reorder the terms: -120 + 1x + x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '120' to each side of the equation. -120 + 1x + 120 + x2 = 0 + 120 Reorder the terms: -120 + 120 + 1x + x2 = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 1x + x2 = 0 + 120 1x + x2 = 0 + 120 Combine like terms: 0 + 120 = 120 1x + x2 = 120 The x term is 1x. 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 = 120 + 0.25 Reorder the terms: 0.25 + x + x2 = 120 + 0.25 Combine like terms: 120 + 0.25 = 120.25 0.25 + x + x2 = 120.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 120.25 Calculate the square root of the right side: 10.9658561 Break this problem into two subproblems by setting (x + 0.5) equal to 10.9658561 and -10.9658561.Subproblem 1
x + 0.5 = 10.9658561 Simplifying x + 0.5 = 10.9658561 Reorder the terms: 0.5 + x = 10.9658561 Solving 0.5 + x = 10.9658561 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 = 10.9658561 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 10.9658561 + -0.5 x = 10.9658561 + -0.5 Combine like terms: 10.9658561 + -0.5 = 10.4658561 x = 10.4658561 Simplifying x = 10.4658561Subproblem 2
x + 0.5 = -10.9658561 Simplifying x + 0.5 = -10.9658561 Reorder the terms: 0.5 + x = -10.9658561 Solving 0.5 + x = -10.9658561 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 = -10.9658561 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -10.9658561 + -0.5 x = -10.9658561 + -0.5 Combine like terms: -10.9658561 + -0.5 = -11.4658561 x = -11.4658561 Simplifying x = -11.4658561Solution
The solution to the problem is based on the solutions from the subproblems. x = {10.4658561, -11.4658561}
| 32=r-22 | | 6sin^2x-6sinx-5=0 | | x-2(x+3)=2x-3(x+3) | | x^2+4x+4=8(y-3) | | 10+2(4+y)-5=32 | | 44b^2-252b-72=0 | | -5z+(-3)z=8 | | X=5.20/10 | | 24x-6x=2x-40 | | 10=q-11 | | 3/2y=4-x | | y=37+0.8x+-0.02x^2 | | 18+12(14+y)-15=187 | | -5cx(3-4c^2x+3c)+(-6c-c^2x+7)= | | x+(x*.12)=170000 | | 3(x+4)-1=23 | | 4x-7=28-3x | | 10=-3.1 | | -4e-9=10 | | 15=2z | | t^2=2t+8 | | 8-x+4=x^2-4x | | x+(170000*.12)=170000 | | 9b+6=-30 | | 3x*x+2x=16 | | 2x-3(7-3x)=-4 | | x^3y^4=2 | | -8t+35=26+12t | | h-18.05=20 | | 13x+9y=564 | | 3(5x+2)=40 | | 1/2×17/2×5 |