If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 35x = 45 Reorder the terms: 35x + 3x2 = 45 Solving 35x + 3x2 = 45 Solving for variable 'x'. Reorder the terms: -45 + 35x + 3x2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 35x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -15 + 11.66666667x + x2 = 0 Move the constant term to the right: Add '15' to each side of the equation. -15 + 11.66666667x + 15 + x2 = 0 + 15 Reorder the terms: -15 + 15 + 11.66666667x + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 11.66666667x + x2 = 0 + 15 11.66666667x + x2 = 0 + 15 Combine like terms: 0 + 15 = 15 11.66666667x + x2 = 15 The x term is 11.66666667x. Take half its coefficient (5.833333335). Square it (34.02777780) and add it to both sides. Add '34.02777780' to each side of the equation. 11.66666667x + 34.02777780 + x2 = 15 + 34.02777780 Reorder the terms: 34.02777780 + 11.66666667x + x2 = 15 + 34.02777780 Combine like terms: 15 + 34.02777780 = 49.0277778 34.02777780 + 11.66666667x + x2 = 49.0277778 Factor a perfect square on the left side: (x + 5.833333335)(x + 5.833333335) = 49.0277778 Calculate the square root of the right side: 7.001983847 Break this problem into two subproblems by setting (x + 5.833333335) equal to 7.001983847 and -7.001983847.Subproblem 1
x + 5.833333335 = 7.001983847 Simplifying x + 5.833333335 = 7.001983847 Reorder the terms: 5.833333335 + x = 7.001983847 Solving 5.833333335 + x = 7.001983847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.833333335' to each side of the equation. 5.833333335 + -5.833333335 + x = 7.001983847 + -5.833333335 Combine like terms: 5.833333335 + -5.833333335 = 0.000000000 0.000000000 + x = 7.001983847 + -5.833333335 x = 7.001983847 + -5.833333335 Combine like terms: 7.001983847 + -5.833333335 = 1.168650512 x = 1.168650512 Simplifying x = 1.168650512Subproblem 2
x + 5.833333335 = -7.001983847 Simplifying x + 5.833333335 = -7.001983847 Reorder the terms: 5.833333335 + x = -7.001983847 Solving 5.833333335 + x = -7.001983847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.833333335' to each side of the equation. 5.833333335 + -5.833333335 + x = -7.001983847 + -5.833333335 Combine like terms: 5.833333335 + -5.833333335 = 0.000000000 0.000000000 + x = -7.001983847 + -5.833333335 x = -7.001983847 + -5.833333335 Combine like terms: -7.001983847 + -5.833333335 = -12.835317182 x = -12.835317182 Simplifying x = -12.835317182Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.168650512, -12.835317182}
| 3x^2-35x=45 | | 2b/3=10 | | -17+x=39 | | 3y-6=8+2.3v | | 6.4+3.1s=-6 | | 2x+3y=158 | | r/7=-13 | | 2z/z+7=24/54 | | n+9=-4 | | 4=0.2(y-3) | | v+9=19 | | x+s=4x+3 | | 3y=1-x/4 | | -6=b+(-20) | | 32-y/y=6/20 | | 9+5(6x+-9)-4=0 | | 7n^2+2=688 | | -14=+n | | 2/7y=2x-5 | | 7x+5+9x-5=180 | | -18=-3.3+n | | 7(3n+2)=8(7n+5)+5 | | x-5/4=65/12 | | 32+7=t | | d/d-30=24/54 | | 2w^2=-7w-3 | | -2x+6*12=69 | | -4(t-4)+8t=6t-4 | | 96=-6(k-2) | | T-0.5=0.25t-1 | | 2*1/2*1.8 | | 5n^2-3=477 |