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 + -38 = 0 Reorder the terms: -38 + 9x + 4x2 = 0 Solving -38 + 9x + 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'. -9.5 + 2.25x + x2 = 0 Move the constant term to the right: Add '9.5' to each side of the equation. -9.5 + 2.25x + 9.5 + x2 = 0 + 9.5 Reorder the terms: -9.5 + 9.5 + 2.25x + x2 = 0 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 2.25x + x2 = 0 + 9.5 2.25x + x2 = 0 + 9.5 Combine like terms: 0 + 9.5 = 9.5 2.25x + x2 = 9.5 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 = 9.5 + 1.265625 Reorder the terms: 1.265625 + 2.25x + x2 = 9.5 + 1.265625 Combine like terms: 9.5 + 1.265625 = 10.765625 1.265625 + 2.25x + x2 = 10.765625 Factor a perfect square on the left side: (x + 1.125)(x + 1.125) = 10.765625 Calculate the square root of the right side: 3.281101187 Break this problem into two subproblems by setting (x + 1.125) equal to 3.281101187 and -3.281101187.Subproblem 1
x + 1.125 = 3.281101187 Simplifying x + 1.125 = 3.281101187 Reorder the terms: 1.125 + x = 3.281101187 Solving 1.125 + x = 3.281101187 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 = 3.281101187 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = 3.281101187 + -1.125 x = 3.281101187 + -1.125 Combine like terms: 3.281101187 + -1.125 = 2.156101187 x = 2.156101187 Simplifying x = 2.156101187Subproblem 2
x + 1.125 = -3.281101187 Simplifying x + 1.125 = -3.281101187 Reorder the terms: 1.125 + x = -3.281101187 Solving 1.125 + x = -3.281101187 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 = -3.281101187 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = -3.281101187 + -1.125 x = -3.281101187 + -1.125 Combine like terms: -3.281101187 + -1.125 = -4.406101187 x = -4.406101187 Simplifying x = -4.406101187Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.156101187, -4.406101187}
| v+3v-3v-v+4v=16 | | 2s+6=39 | | -10x-121=129 | | 23=2x+2y | | 25x=4350 | | t^2-10t+3=0 | | 5x+4=9x-24 | | 2m=7m-25 | | x-0.7=0.2 | | 10x+5y+4=0 | | 9x+8=17+x | | 1100-r=400+10*r | | 30x+40y=340 | | X(X-2)(X+7)=180 | | 3x^2-12=-9 | | Y=-15+19x+6x^2 | | 2x(x+1)(x-1)= | | 30x+40=340 | | x^2-4x+4=20 | | Y=-12x+15 | | -4x-3=6x+47 | | 20z+-z-11z+-7z=-9 | | x(1040)=5x+640 | | 24-1/22(3x)=16-1/22(2x) | | 40x+40y=320 | | 24=-4n | | 4R-7/3=1 | | 30x+10y=160 | | 24-1/22(3x)=16-1/2292x) | | 7/3=p/3 | | 4R-7/3 | | 29x+19y=27 |