If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 9x = 42 Reorder the terms: 9x + 2x2 = 42 Solving 9x + 2x2 = 42 Solving for variable 'x'. Reorder the terms: -42 + 9x + 2x2 = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + 9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -21 + 4.5x + x2 = 0 Move the constant term to the right: Add '21' to each side of the equation. -21 + 4.5x + 21 + x2 = 0 + 21 Reorder the terms: -21 + 21 + 4.5x + x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 4.5x + x2 = 0 + 21 4.5x + x2 = 0 + 21 Combine like terms: 0 + 21 = 21 4.5x + x2 = 21 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = 21 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = 21 + 5.0625 Combine like terms: 21 + 5.0625 = 26.0625 5.0625 + 4.5x + x2 = 26.0625 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = 26.0625 Calculate the square root of the right side: 5.105144464 Break this problem into two subproblems by setting (x + 2.25) equal to 5.105144464 and -5.105144464.Subproblem 1
x + 2.25 = 5.105144464 Simplifying x + 2.25 = 5.105144464 Reorder the terms: 2.25 + x = 5.105144464 Solving 2.25 + x = 5.105144464 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = 5.105144464 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = 5.105144464 + -2.25 x = 5.105144464 + -2.25 Combine like terms: 5.105144464 + -2.25 = 2.855144464 x = 2.855144464 Simplifying x = 2.855144464Subproblem 2
x + 2.25 = -5.105144464 Simplifying x + 2.25 = -5.105144464 Reorder the terms: 2.25 + x = -5.105144464 Solving 2.25 + x = -5.105144464 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = -5.105144464 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = -5.105144464 + -2.25 x = -5.105144464 + -2.25 Combine like terms: -5.105144464 + -2.25 = -7.355144464 x = -7.355144464 Simplifying x = -7.355144464Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.855144464, -7.355144464}
| y=1/2-(-3)-4 | | 7x+2x-4x=20 | | f(x-1)=2x+3 | | 4x-60=6x+40 | | M(t)=4t^3-18t^2 | | 14b+-18b+3b+11b+7b=-17 | | 6x^2y^7+12x^4y^3=0 | | 6t-2=5t | | 6x-100=4x | | Q=r/p | | 2cosx+3=2 | | 8z+4z-z-3z=8 | | 0.9x^4-x^3+0.1=0 | | 8z^2+14z+5=0 | | 3k-2k=12 | | 19x+2y+16+17x-17y-4= | | 6a+12=12a-16 | | 7n-n=12 | | 6a+12=12a-6 | | -5.8p=-7.3p-15 | | 2.1h+11.17=15.8h-16.23 | | 6(x+2)=2 | | -19.6y+13.1=-16.9y-15.28-11.3y | | (2/x-3)=(4/x-3)-(6x/x^2-9) | | (x^(2/3)*x^(2/5))/x^(-2/4) | | -15x/3x | | 3t^3+4t^2-5t-4=0 | | x^(2/3)*x^(2/5) | | 3(x-3)+4(x+2)=41 | | 12.3r+18.81=7.2r-19.95 | | x^2/3*x^2/5 | | 5+3=215 |