If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 36x2 + -24x = 85 Reorder the terms: -24x + 36x2 = 85 Solving -24x + 36x2 = 85 Solving for variable 'x'. Reorder the terms: -85 + -24x + 36x2 = 85 + -85 Combine like terms: 85 + -85 = 0 -85 + -24x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. -2.361111111 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '2.361111111' to each side of the equation. -2.361111111 + -0.6666666667x + 2.361111111 + x2 = 0 + 2.361111111 Reorder the terms: -2.361111111 + 2.361111111 + -0.6666666667x + x2 = 0 + 2.361111111 Combine like terms: -2.361111111 + 2.361111111 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + 2.361111111 -0.6666666667x + x2 = 0 + 2.361111111 Combine like terms: 0 + 2.361111111 = 2.361111111 -0.6666666667x + x2 = 2.361111111 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = 2.361111111 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = 2.361111111 + 0.1111111112 Combine like terms: 2.361111111 + 0.1111111112 = 2.4722222222 0.1111111112 + -0.6666666667x + x2 = 2.4722222222 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = 2.4722222222 Calculate the square root of the right side: 1.572330189 Break this problem into two subproblems by setting (x + -0.3333333334) equal to 1.572330189 and -1.572330189.Subproblem 1
x + -0.3333333334 = 1.572330189 Simplifying x + -0.3333333334 = 1.572330189 Reorder the terms: -0.3333333334 + x = 1.572330189 Solving -0.3333333334 + x = 1.572330189 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = 1.572330189 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = 1.572330189 + 0.3333333334 x = 1.572330189 + 0.3333333334 Combine like terms: 1.572330189 + 0.3333333334 = 1.9056635224 x = 1.9056635224 Simplifying x = 1.9056635224Subproblem 2
x + -0.3333333334 = -1.572330189 Simplifying x + -0.3333333334 = -1.572330189 Reorder the terms: -0.3333333334 + x = -1.572330189 Solving -0.3333333334 + x = -1.572330189 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = -1.572330189 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = -1.572330189 + 0.3333333334 x = -1.572330189 + 0.3333333334 Combine like terms: -1.572330189 + 0.3333333334 = -1.2389968556 x = -1.2389968556 Simplifying x = -1.2389968556Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.9056635224, -1.2389968556}
| 2(3x+1)2x=8x+1 | | 6sin^2(X)-3sin(X)cos(X)-cos^2(X)=1 | | z-3z=5z-5-2 | | 5(3a+2b)+5(3a+3b)= | | -4X+5-5(X-1)=-3(3X-4)-5X+5 | | 13-4(x+2)=17(x+4)-36 | | 4u=u+28 | | 2/3-18/x | | 2=-3+2x | | -57=-3x | | 4u=3u+5 | | 0.5x(x-1.2)=x-0.8 | | 6z-z=-2+2z-3-1 | | 4X-3(2-3X)=4(X-5)-22 | | 1/5x1 | | 4=-7+0x | | -5=12+b | | 2z=3z-34 | | y-260=5(x-5) | | 9t+49=13t+45 | | 116=2u | | 2c+76=c+78 | | 7(9+x)=28 | | -11(2+1)+5(3z-6)=3(z-5)+8 | | 2z=5z-75 | | 4s^2+14s+10= | | 10y+y^2=24 | | 72=2x+2x^2 | | 5w+7=14w-38 | | 18=2h+6 | | 6c+16=130 | | 2-1/2r=5-2/3r |