If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 31x + 8 = 0 Reorder the terms: 8 + 31x + 4x2 = 0 Solving 8 + 31x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + 7.75x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 7.75x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 7.75x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7.75x + x2 = 0 + -2 7.75x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 7.75x + x2 = -2 The x term is 7.75x. Take half its coefficient (3.875). Square it (15.015625) and add it to both sides. Add '15.015625' to each side of the equation. 7.75x + 15.015625 + x2 = -2 + 15.015625 Reorder the terms: 15.015625 + 7.75x + x2 = -2 + 15.015625 Combine like terms: -2 + 15.015625 = 13.015625 15.015625 + 7.75x + x2 = 13.015625 Factor a perfect square on the left side: (x + 3.875)(x + 3.875) = 13.015625 Calculate the square root of the right side: 3.607717422 Break this problem into two subproblems by setting (x + 3.875) equal to 3.607717422 and -3.607717422.Subproblem 1
x + 3.875 = 3.607717422 Simplifying x + 3.875 = 3.607717422 Reorder the terms: 3.875 + x = 3.607717422 Solving 3.875 + x = 3.607717422 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.875' to each side of the equation. 3.875 + -3.875 + x = 3.607717422 + -3.875 Combine like terms: 3.875 + -3.875 = 0.000 0.000 + x = 3.607717422 + -3.875 x = 3.607717422 + -3.875 Combine like terms: 3.607717422 + -3.875 = -0.267282578 x = -0.267282578 Simplifying x = -0.267282578Subproblem 2
x + 3.875 = -3.607717422 Simplifying x + 3.875 = -3.607717422 Reorder the terms: 3.875 + x = -3.607717422 Solving 3.875 + x = -3.607717422 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.875' to each side of the equation. 3.875 + -3.875 + x = -3.607717422 + -3.875 Combine like terms: 3.875 + -3.875 = 0.000 0.000 + x = -3.607717422 + -3.875 x = -3.607717422 + -3.875 Combine like terms: -3.607717422 + -3.875 = -7.482717422 x = -7.482717422 Simplifying x = -7.482717422Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.267282578, -7.482717422}
| .4x+.25(100-x)=31 | | 2x-x^2+4=-7 | | 13-(x+5)=7x-8 | | 4w=132 | | x^2-2x-26=0 | | 2(8s+9)-4s=3(4s+4)-15 | | 18=-3x+6 | | .4x+.25(144-x)=34 | | 5a-4(a+9)=2a-3 | | 1.3+5=-5.4 | | 0.8(x+70)+0.6x=105 | | x=-2-(2)(-3) | | 3t(t-4)=15 | | 15-9x=28 | | -2-2y-2y=10 | | 5y+4-2y=7+2y+6 | | 20-x=-4 | | -24+2x+40x^2=0 | | 7x-9=8x-7 | | 22n+4= | | -9c+3=21 | | 0=x^2-3x-42 | | -6+25=-83 | | 5x+3=5x-x | | 0.7x^2-2.8x-0.7=0 | | 38+(n-1)(-4)= | | 6y+2y=7y+8 | | w+w-1578=4922 | | 22+(n-1)(-4)= | | 22+(n-1)4= | | 2x-12=-10 | | w-1578+4922-w=4922 |