If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x2 + 3x = 1000 Reorder the terms: 3x + 7x2 = 1000 Solving 3x + 7x2 = 1000 Solving for variable 'x'. Reorder the terms: -1000 + 3x + 7x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1000 + 3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -142.8571429 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '142.8571429' to each side of the equation. -142.8571429 + 0.4285714286x + 142.8571429 + x2 = 0 + 142.8571429 Reorder the terms: -142.8571429 + 142.8571429 + 0.4285714286x + x2 = 0 + 142.8571429 Combine like terms: -142.8571429 + 142.8571429 = 0.0000000 0.0000000 + 0.4285714286x + x2 = 0 + 142.8571429 0.4285714286x + x2 = 0 + 142.8571429 Combine like terms: 0 + 142.8571429 = 142.8571429 0.4285714286x + x2 = 142.8571429 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = 142.8571429 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = 142.8571429 + 0.04591836735 Combine like terms: 142.8571429 + 0.04591836735 = 142.90306126735 0.04591836735 + 0.4285714286x + x2 = 142.90306126735 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = 142.90306126735 Calculate the square root of the right side: 11.954206844 Break this problem into two subproblems by setting (x + 0.2142857143) equal to 11.954206844 and -11.954206844.Subproblem 1
x + 0.2142857143 = 11.954206844 Simplifying x + 0.2142857143 = 11.954206844 Reorder the terms: 0.2142857143 + x = 11.954206844 Solving 0.2142857143 + x = 11.954206844 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2142857143' to each side of the equation. 0.2142857143 + -0.2142857143 + x = 11.954206844 + -0.2142857143 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 0.0000000000 + x = 11.954206844 + -0.2142857143 x = 11.954206844 + -0.2142857143 Combine like terms: 11.954206844 + -0.2142857143 = 11.7399211297 x = 11.7399211297 Simplifying x = 11.7399211297Subproblem 2
x + 0.2142857143 = -11.954206844 Simplifying x + 0.2142857143 = -11.954206844 Reorder the terms: 0.2142857143 + x = -11.954206844 Solving 0.2142857143 + x = -11.954206844 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2142857143' to each side of the equation. 0.2142857143 + -0.2142857143 + x = -11.954206844 + -0.2142857143 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 0.0000000000 + x = -11.954206844 + -0.2142857143 x = -11.954206844 + -0.2142857143 Combine like terms: -11.954206844 + -0.2142857143 = -12.1684925583 x = -12.1684925583 Simplifying x = -12.1684925583Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.7399211297, -12.1684925583}
| 4-(8+4)= | | 22-x=-49 | | 2x-3(1)=12 | | x+(x-454)=4300 | | 10x+2+9x-3= | | 7-2(1-3x)=9x-10 | | 8x+9=8x-5 | | t(n)=2n^2-7 | | 5d+6=6d | | 17y+21= | | 8x=8x+4 | | 5(4x^2-12x+9)+4=-56 | | 5x+11=8x+8 | | (3x+2)(7x-5)= | | 4x+60=64 | | .1(x+10)=.3x-4 | | 8(4x-5)-7x=5(5x)-8 | | 2(-6)-3y=12 | | 4x+14=-x-6 | | 2x^3+2x^2k+x^2+xk-15x-15k=-3 | | 12y=4x | | 4p-11p=63 | | Q=8q+42 | | 5x-3(x-3)=-8+4x+3 | | 4-3x-6=3x+2-x | | s=180n-300 | | 3x-31+x+6= | | 9=8q+42 | | 19+x-6=33 | | 4x=9x-100 | | x+(x+1)+(x+2)+(x+3)+(x+4)=61 | | -4x+3=-3 |