If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 11x = 45 Reorder the terms: 11x + 6x2 = 45 Solving 11x + 6x2 = 45 Solving for variable 'x'. Reorder the terms: -45 + 11x + 6x2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 11x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -7.5 + 1.833333333x + x2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 1.833333333x + 7.5 + x2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 1.833333333x + x2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 1.833333333x + x2 = 0 + 7.5 1.833333333x + x2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 1.833333333x + x2 = 7.5 The x term is 1.833333333x. Take half its coefficient (0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. 1.833333333x + 0.8402777775 + x2 = 7.5 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333x + x2 = 7.5 + 0.8402777775 Combine like terms: 7.5 + 0.8402777775 = 8.3402777775 0.8402777775 + 1.833333333x + x2 = 8.3402777775 Factor a perfect square on the left side: (x + 0.9166666665)(x + 0.9166666665) = 8.3402777775 Calculate the square root of the right side: 2.887953908 Break this problem into two subproblems by setting (x + 0.9166666665) equal to 2.887953908 and -2.887953908.Subproblem 1
x + 0.9166666665 = 2.887953908 Simplifying x + 0.9166666665 = 2.887953908 Reorder the terms: 0.9166666665 + x = 2.887953908 Solving 0.9166666665 + x = 2.887953908 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9166666665' to each side of the equation. 0.9166666665 + -0.9166666665 + x = 2.887953908 + -0.9166666665 Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000 0.0000000000 + x = 2.887953908 + -0.9166666665 x = 2.887953908 + -0.9166666665 Combine like terms: 2.887953908 + -0.9166666665 = 1.9712872415 x = 1.9712872415 Simplifying x = 1.9712872415Subproblem 2
x + 0.9166666665 = -2.887953908 Simplifying x + 0.9166666665 = -2.887953908 Reorder the terms: 0.9166666665 + x = -2.887953908 Solving 0.9166666665 + x = -2.887953908 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9166666665' to each side of the equation. 0.9166666665 + -0.9166666665 + x = -2.887953908 + -0.9166666665 Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000 0.0000000000 + x = -2.887953908 + -0.9166666665 x = -2.887953908 + -0.9166666665 Combine like terms: -2.887953908 + -0.9166666665 = -3.8046205745 x = -3.8046205745 Simplifying x = -3.8046205745Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.9712872415, -3.8046205745}
| (9x-4)(7x+5)= | | -6(x+2)+7=-5 | | 6m+3(2m-5)=4-7m | | Y=45000+50x | | 8x+3=18+2x | | 2x+11=38-5x | | -26=5(x+1)-1 | | 4x*6x=4 | | 7X=4X+20 | | 6a-9b+3c= | | f(x)=3sinx | | 5+16r-3=9r+128-7r | | 19.7p=98.5 | | 9x-9=3x+8 | | 3+x^2=11 | | 2a+14=6a-6 | | 5x+2x-17=58 | | 5x+4x+12y+13y= | | 3c-4=c+1 | | 7q+3(2q-1)=8q+17 | | 10x^2-47x+28=0 | | 27=3X+9 | | -7x-6(-7-x)=37 | | 3X-3+2X+4=36 | | m=3 m+9 | | -10x^2+5x=0 | | 6(3k+5)=30 | | 5(3x+5)+3=4(2x-7) | | 16X+14X+16-9=67 | | 2(x+4)+5=4x-2(-4+x) | | 3+9x=-5+5 | | 8x+1=2x-5 |