If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 6x = 120 Reorder the terms: 6x + x2 = 120 Solving 6x + x2 = 120 Solving for variable 'x'. Reorder the terms: -120 + 6x + x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '120' to each side of the equation. -120 + 6x + 120 + x2 = 0 + 120 Reorder the terms: -120 + 120 + 6x + x2 = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 6x + x2 = 0 + 120 6x + x2 = 0 + 120 Combine like terms: 0 + 120 = 120 6x + x2 = 120 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 120 + 9 Reorder the terms: 9 + 6x + x2 = 120 + 9 Combine like terms: 120 + 9 = 129 9 + 6x + x2 = 129 Factor a perfect square on the left side: (x + 3)(x + 3) = 129 Calculate the square root of the right side: 11.357816692 Break this problem into two subproblems by setting (x + 3) equal to 11.357816692 and -11.357816692.Subproblem 1
x + 3 = 11.357816692 Simplifying x + 3 = 11.357816692 Reorder the terms: 3 + x = 11.357816692 Solving 3 + x = 11.357816692 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 11.357816692 + -3 Combine like terms: 3 + -3 = 0 0 + x = 11.357816692 + -3 x = 11.357816692 + -3 Combine like terms: 11.357816692 + -3 = 8.357816692 x = 8.357816692 Simplifying x = 8.357816692Subproblem 2
x + 3 = -11.357816692 Simplifying x + 3 = -11.357816692 Reorder the terms: 3 + x = -11.357816692 Solving 3 + x = -11.357816692 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -11.357816692 + -3 Combine like terms: 3 + -3 = 0 0 + x = -11.357816692 + -3 x = -11.357816692 + -3 Combine like terms: -11.357816692 + -3 = -14.357816692 x = -14.357816692 Simplifying x = -14.357816692Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.357816692, -14.357816692}
| 7x+3=19+5x | | 8y-2=14y-4 | | b=1/3=2 | | X^2+6x+33=0 | | (-4e^-2x)/(e^-5x) | | 16-3x=-7x+12 | | 5a^2-21a+18=0 | | 2/3a^2=23 | | 6x-10=-20 | | 14fa-72a^2+f^2= | | 2/3g=6=-12 | | -5z+6=6z-38 | | 144=-12(X+-60) | | a*bcd=bcd*a | | 1X+8=3X+14 | | (x+y)=3(x+y)-2 | | 4x-(3x-7)-(2x-3)=8x(x-1) | | 8z+4=11z-17 | | 3x+4(1)=-2 | | 5(2u-2)-12u= | | 5m+2n-2m+9n= | | 2x+12=3x-8 | | 9+3r=-17 | | -72+11y+2=4(5y-2)-8 | | -2(2-5x)=8x-2 | | 14qp-51q^2+p^2= | | -5x-3x+9x=4-x | | 1/2x=1/4-6 | | w/7=3=-1 | | 2(2-5x)=8x-2 | | 13=-10y+3y | | 4(x-3)(x+4)=0 |