If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 9x = 105 Reorder the terms: 9x + 4x2 = 105 Solving 9x + 4x2 = 105 Solving for variable 'x'. Reorder the terms: -105 + 9x + 4x2 = 105 + -105 Combine like terms: 105 + -105 = 0 -105 + 9x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -26.25 + 2.25x + x2 = 0 Move the constant term to the right: Add '26.25' to each side of the equation. -26.25 + 2.25x + 26.25 + x2 = 0 + 26.25 Reorder the terms: -26.25 + 26.25 + 2.25x + x2 = 0 + 26.25 Combine like terms: -26.25 + 26.25 = 0.00 0.00 + 2.25x + x2 = 0 + 26.25 2.25x + x2 = 0 + 26.25 Combine like terms: 0 + 26.25 = 26.25 2.25x + x2 = 26.25 The x term is 2.25x. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25x + 1.265625 + x2 = 26.25 + 1.265625 Reorder the terms: 1.265625 + 2.25x + x2 = 26.25 + 1.265625 Combine like terms: 26.25 + 1.265625 = 27.515625 1.265625 + 2.25x + x2 = 27.515625 Factor a perfect square on the left side: (x + 1.125)(x + 1.125) = 27.515625 Calculate the square root of the right side: 5.245533815 Break this problem into two subproblems by setting (x + 1.125) equal to 5.245533815 and -5.245533815.Subproblem 1
x + 1.125 = 5.245533815 Simplifying x + 1.125 = 5.245533815 Reorder the terms: 1.125 + x = 5.245533815 Solving 1.125 + x = 5.245533815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = 5.245533815 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = 5.245533815 + -1.125 x = 5.245533815 + -1.125 Combine like terms: 5.245533815 + -1.125 = 4.120533815 x = 4.120533815 Simplifying x = 4.120533815Subproblem 2
x + 1.125 = -5.245533815 Simplifying x + 1.125 = -5.245533815 Reorder the terms: 1.125 + x = -5.245533815 Solving 1.125 + x = -5.245533815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = -5.245533815 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = -5.245533815 + -1.125 x = -5.245533815 + -1.125 Combine like terms: -5.245533815 + -1.125 = -6.370533815 x = -6.370533815 Simplifying x = -6.370533815Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.120533815, -6.370533815}
| asdfgh=77677 | | 180-x=3x | | abc=efg | | a+2+x=dx | | 10x^4+10x=0 | | t*6-1=13 | | asz=2x+72-2y | | 5x+3=x+15+7x | | x+2y+3z=z-y-30x | | x+y+z=2x-y | | -8x-24=-6 | | 3(2xy)=2xy+5 | | cos(3x-30)=1 | | 144=n^2+6n-16 | | 0.02x-0.13x+0.11=0.103-0.1x | | cos(3x+30)=1 | | (x+22)+(3x+40)=180 | | -144-10x^2+x^4=0 | | 90=3x^2+10x+2 | | (3y)9=24 | | 2[x+3]=12 | | 5(q-3)=23 | | 0=-t^2+2t+8 | | 4[x+1]=12 | | -z^2+12x-36=0 | | 4s-19=89 | | mx^2+(2m-1)x-2=0 | | 2w^2=5w-2 | | 2(3x-2)=6x-1 | | 12a=8a+108 | | 0.125(x+1)= | | X+20=x+40 |