If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x2 + 12x = -2 Reorder the terms: 12x + 5x2 = -2 Solving 12x + 5x2 = -2 Solving for variable 'x'. Reorder the terms: 2 + 12x + 5x2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 12x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 2.4x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 2.4x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 2.4x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 2.4x + x2 = 0 + -0.4 2.4x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 2.4x + x2 = -0.4 The x term is 2.4x. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4x + 1.44 + x2 = -0.4 + 1.44 Reorder the terms: 1.44 + 2.4x + x2 = -0.4 + 1.44 Combine like terms: -0.4 + 1.44 = 1.04 1.44 + 2.4x + x2 = 1.04 Factor a perfect square on the left side: (x + 1.2)(x + 1.2) = 1.04 Calculate the square root of the right side: 1.019803903 Break this problem into two subproblems by setting (x + 1.2) equal to 1.019803903 and -1.019803903.Subproblem 1
x + 1.2 = 1.019803903 Simplifying x + 1.2 = 1.019803903 Reorder the terms: 1.2 + x = 1.019803903 Solving 1.2 + x = 1.019803903 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + x = 1.019803903 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + x = 1.019803903 + -1.2 x = 1.019803903 + -1.2 Combine like terms: 1.019803903 + -1.2 = -0.180196097 x = -0.180196097 Simplifying x = -0.180196097Subproblem 2
x + 1.2 = -1.019803903 Simplifying x + 1.2 = -1.019803903 Reorder the terms: 1.2 + x = -1.019803903 Solving 1.2 + x = -1.019803903 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + x = -1.019803903 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + x = -1.019803903 + -1.2 x = -1.019803903 + -1.2 Combine like terms: -1.019803903 + -1.2 = -2.219803903 x = -2.219803903 Simplifying x = -2.219803903Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.180196097, -2.219803903}
| 6x^2-y=-2 | | 5y+8=32 | | 3r^2-7r+8=0 | | 2t^2+1=19 | | 5(3+4x)-6=149 | | 2w^2-72=0 | | 4k+8=24 | | a^2=28 | | 2(3x+2)+4=26 | | (2n+1)=3n^2 | | 5x+2x=75 | | (2x+1)=3n^2 | | 5*(x-1)+20=40*(x-3) | | 4B+36=3(20)-2B | | x(5-2x)=0 | | 3(m-2)=3(2m+3) | | x+0.3(150000)=150000 | | 2[x-7]=3x | | ln(x+2)=5 | | 102300+0.3x=x | | 2.3-n=4n-3.2 | | 6(t+8)-2t=3t-19 | | 72+2w=44 | | x^3-10x^2+33x-34=0 | | 3d+5=2d+6 | | 100000+0.3x=x | | 132418+0.3x=x | | 0.3x+25=x | | (47x+24y)+(35x+39y)= | | 13-10x=121-31x | | x*5=-8 | | 2s+3s-7m+2=17m |