If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -12x + 7 = 5x + -2x2 Reorder the terms: 7 + -12x = 5x + -2x2 Solving 7 + -12x = 5x + -2x2 Solving for variable 'x'. Combine like terms: -12x + -5x = -17x 7 + -17x + 2x2 = 5x + -2x2 + -5x + 2x2 Reorder the terms: 7 + -17x + 2x2 = 5x + -5x + -2x2 + 2x2 Combine like terms: 5x + -5x = 0 7 + -17x + 2x2 = 0 + -2x2 + 2x2 7 + -17x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 7 + -17x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + -8.5x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -8.5x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -8.5x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -8.5x + x2 = 0 + -3.5 -8.5x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -8.5x + x2 = -3.5 The x term is -8.5x. Take half its coefficient (-4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. -8.5x + 18.0625 + x2 = -3.5 + 18.0625 Reorder the terms: 18.0625 + -8.5x + x2 = -3.5 + 18.0625 Combine like terms: -3.5 + 18.0625 = 14.5625 18.0625 + -8.5x + x2 = 14.5625 Factor a perfect square on the left side: (x + -4.25)(x + -4.25) = 14.5625 Calculate the square root of the right side: 3.816084381 Break this problem into two subproblems by setting (x + -4.25) equal to 3.816084381 and -3.816084381.Subproblem 1
x + -4.25 = 3.816084381 Simplifying x + -4.25 = 3.816084381 Reorder the terms: -4.25 + x = 3.816084381 Solving -4.25 + x = 3.816084381 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.25' to each side of the equation. -4.25 + 4.25 + x = 3.816084381 + 4.25 Combine like terms: -4.25 + 4.25 = 0.00 0.00 + x = 3.816084381 + 4.25 x = 3.816084381 + 4.25 Combine like terms: 3.816084381 + 4.25 = 8.066084381 x = 8.066084381 Simplifying x = 8.066084381Subproblem 2
x + -4.25 = -3.816084381 Simplifying x + -4.25 = -3.816084381 Reorder the terms: -4.25 + x = -3.816084381 Solving -4.25 + x = -3.816084381 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.25' to each side of the equation. -4.25 + 4.25 + x = -3.816084381 + 4.25 Combine like terms: -4.25 + 4.25 = 0.00 0.00 + x = -3.816084381 + 4.25 x = -3.816084381 + 4.25 Combine like terms: -3.816084381 + 4.25 = 0.433915619 x = 0.433915619 Simplifying x = 0.433915619Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.066084381, 0.433915619}
| 9x+12=8x | | 3x^2+12x+-1=0 | | -1=(1/6)x-2 | | -8=(1/6)x-2 | | 2x-(x+1)=-3+5(x-6) | | 7x^2+3x=12 | | 3y-3+y+45=5+7y+45-5y | | 10+6= | | 5x+6=5(x+9) | | (-2.5)6x-2=(-2.5)7x+4 | | (5x-4)+(2x+11)= | | 6+6(b+2)=23+6b | | -9c+5=-40 | | 7(2q-3)=6q+3 | | -5(t+4)= | | 6x+4(3x-8)=16 | | 3a=-3(-13-3a) | | 31-19=3(x-1) | | 31+3y-3=14y-14-5y | | -5-4a+3=6a-8 | | 4x+18=-8 | | 5=7h+14 | | 3(1+8x)-8x=7x-6 | | 6t+11=8t-15 | | (x-10)+(2x+40)= | | -8x-2=-20+6x+6x | | -7m-17=11 | | 18-4x=13+x | | 38+6x=4(1-7x) | | 69-5x=13x+21 | | 6+7a=-3+9a-9 | | 6x+9x=-81-9x |