If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + x = 74 Reorder the terms: x + 2x2 = 74 Solving x + 2x2 = 74 Solving for variable 'x'. Reorder the terms: -74 + x + 2x2 = 74 + -74 Combine like terms: 74 + -74 = 0 -74 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -37 + 0.5x + x2 = 0 Move the constant term to the right: Add '37' to each side of the equation. -37 + 0.5x + 37 + x2 = 0 + 37 Reorder the terms: -37 + 37 + 0.5x + x2 = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 0.5x + x2 = 0 + 37 0.5x + x2 = 0 + 37 Combine like terms: 0 + 37 = 37 0.5x + x2 = 37 The x term is x. 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. 0.5x + 0.25 + x2 = 37 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = 37 + 0.25 Combine like terms: 37 + 0.25 = 37.25 0.25 + 0.5x + x2 = 37.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 37.25 Calculate the square root of the right side: 6.103277808 Break this problem into two subproblems by setting (x + 0.5) equal to 6.103277808 and -6.103277808.Subproblem 1
x + 0.5 = 6.103277808 Simplifying x + 0.5 = 6.103277808 Reorder the terms: 0.5 + x = 6.103277808 Solving 0.5 + x = 6.103277808 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 = 6.103277808 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 6.103277808 + -0.5 x = 6.103277808 + -0.5 Combine like terms: 6.103277808 + -0.5 = 5.603277808 x = 5.603277808 Simplifying x = 5.603277808Subproblem 2
x + 0.5 = -6.103277808 Simplifying x + 0.5 = -6.103277808 Reorder the terms: 0.5 + x = -6.103277808 Solving 0.5 + x = -6.103277808 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 = -6.103277808 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -6.103277808 + -0.5 x = -6.103277808 + -0.5 Combine like terms: -6.103277808 + -0.5 = -6.603277808 x = -6.603277808 Simplifying x = -6.603277808Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.603277808, -6.603277808}
| 40=d/5 | | x+x^2=74 | | K/-4=-8 | | 381.3=0.49x+0.51y | | Log(200-2x)=5 | | 2x-6+4x-12=0 | | x^3-27x^2+240x-704=0 | | 8-(4y-5)=9-5y | | 2w-9+-4w-5=0 | | 2w-9+(-4w-5)=0 | | -15x-14=-131 | | 65=2h^2+3h | | 20x+4=50 | | -11x-20=-47 | | 2x-4x=-11 | | 23x+4=42 | | -ln(x)=3.9 | | -7(2t+3)=-63 | | 3q(q-2)=9 | | -x9/9-12=-23 | | 1.9=0.0756t^2-0.025t | | (16b-3)-5(3b+1)=-7 | | 3(4s+7)=177 | | 6(2l+10)=96 | | 6x+6x+4+9=3x+5+8x | | 5(a-4)=50 | | 11logx-x+2=0 | | 11logx=x-2 | | x^2-5y^2=11 | | 14x-y=14 | | X/14.=-5 | | 13m+2n=0 |