If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x2 + 10x + -30 = 0 Reorder the terms: -30 + 10x + 7x2 = 0 Solving -30 + 10x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -4.285714286 + 1.428571429x + x2 = 0 Move the constant term to the right: Add '4.285714286' to each side of the equation. -4.285714286 + 1.428571429x + 4.285714286 + x2 = 0 + 4.285714286 Reorder the terms: -4.285714286 + 4.285714286 + 1.428571429x + x2 = 0 + 4.285714286 Combine like terms: -4.285714286 + 4.285714286 = 0.000000000 0.000000000 + 1.428571429x + x2 = 0 + 4.285714286 1.428571429x + x2 = 0 + 4.285714286 Combine like terms: 0 + 4.285714286 = 4.285714286 1.428571429x + x2 = 4.285714286 The x term is 1.428571429x. Take half its coefficient (0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. 1.428571429x + 0.5102040819 + x2 = 4.285714286 + 0.5102040819 Reorder the terms: 0.5102040819 + 1.428571429x + x2 = 4.285714286 + 0.5102040819 Combine like terms: 4.285714286 + 0.5102040819 = 4.7959183679 0.5102040819 + 1.428571429x + x2 = 4.7959183679 Factor a perfect square on the left side: (x + 0.7142857145)(x + 0.7142857145) = 4.7959183679 Calculate the square root of the right side: 2.189958531 Break this problem into two subproblems by setting (x + 0.7142857145) equal to 2.189958531 and -2.189958531.Subproblem 1
x + 0.7142857145 = 2.189958531 Simplifying x + 0.7142857145 = 2.189958531 Reorder the terms: 0.7142857145 + x = 2.189958531 Solving 0.7142857145 + x = 2.189958531 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7142857145' to each side of the equation. 0.7142857145 + -0.7142857145 + x = 2.189958531 + -0.7142857145 Combine like terms: 0.7142857145 + -0.7142857145 = 0.0000000000 0.0000000000 + x = 2.189958531 + -0.7142857145 x = 2.189958531 + -0.7142857145 Combine like terms: 2.189958531 + -0.7142857145 = 1.4756728165 x = 1.4756728165 Simplifying x = 1.4756728165Subproblem 2
x + 0.7142857145 = -2.189958531 Simplifying x + 0.7142857145 = -2.189958531 Reorder the terms: 0.7142857145 + x = -2.189958531 Solving 0.7142857145 + x = -2.189958531 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7142857145' to each side of the equation. 0.7142857145 + -0.7142857145 + x = -2.189958531 + -0.7142857145 Combine like terms: 0.7142857145 + -0.7142857145 = 0.0000000000 0.0000000000 + x = -2.189958531 + -0.7142857145 x = -2.189958531 + -0.7142857145 Combine like terms: -2.189958531 + -0.7142857145 = -2.9042442455 x = -2.9042442455 Simplifying x = -2.9042442455Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.4756728165, -2.9042442455}
| 5x-2(x-3)=6 | | 9-3(m+9)=-36 | | 3x^2+10x-30=0 | | 4x^2+10x-30=0 | | 2x^2+10x-30=0 | | 8(2x+1)=-4x+48 | | [2d]+3=21 | | -4(9+5)= | | 0=-16t^2+225t | | 9y+7y=112 | | 10x^2+10x-30=0 | | -2x-10y=58 | | 5x+3(2x+11)=44 | | 8c+16-6c=20 | | 2w^2-w-21= | | 6x+5=x-25 | | 6-7y=2(-4)y+1 | | r-15=63 | | -3(3b+1)+(10b-3)=0 | | -90b+100+92b=104 | | -4+3x=23 | | 4(x+5)=300 | | w(3w)=(w+2)(2w) | | -6y+5=-7y+6 | | 4+3x=23 | | (-2+z)+y+z=6 | | 23=4-3x | | 56.9=34+p | | -6(t+2)=12 | | 7x+24=3 | | 8-5x=40 | | y^2-3y-22=0 |