If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x2 + 20x + 3 = 0 Reorder the terms: 3 + 20x + 7x2 = 0 Solving 3 + 20x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + 2.857142857x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 2.857142857x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 2.857142857x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 2.857142857x + x2 = 0 + -0.4285714286 2.857142857x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 2.857142857x + x2 = -0.4285714286 The x term is 2.857142857x. Take half its coefficient (1.428571429). Square it (2.040816328) and add it to both sides. Add '2.040816328' to each side of the equation. 2.857142857x + 2.040816328 + x2 = -0.4285714286 + 2.040816328 Reorder the terms: 2.040816328 + 2.857142857x + x2 = -0.4285714286 + 2.040816328 Combine like terms: -0.4285714286 + 2.040816328 = 1.6122448994 2.040816328 + 2.857142857x + x2 = 1.6122448994 Factor a perfect square on the left side: (x + 1.428571429)(x + 1.428571429) = 1.6122448994 Calculate the square root of the right side: 1.26974206 Break this problem into two subproblems by setting (x + 1.428571429) equal to 1.26974206 and -1.26974206.Subproblem 1
x + 1.428571429 = 1.26974206 Simplifying x + 1.428571429 = 1.26974206 Reorder the terms: 1.428571429 + x = 1.26974206 Solving 1.428571429 + x = 1.26974206 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.428571429' to each side of the equation. 1.428571429 + -1.428571429 + x = 1.26974206 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + x = 1.26974206 + -1.428571429 x = 1.26974206 + -1.428571429 Combine like terms: 1.26974206 + -1.428571429 = -0.158829369 x = -0.158829369 Simplifying x = -0.158829369Subproblem 2
x + 1.428571429 = -1.26974206 Simplifying x + 1.428571429 = -1.26974206 Reorder the terms: 1.428571429 + x = -1.26974206 Solving 1.428571429 + x = -1.26974206 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.428571429' to each side of the equation. 1.428571429 + -1.428571429 + x = -1.26974206 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + x = -1.26974206 + -1.428571429 x = -1.26974206 + -1.428571429 Combine like terms: -1.26974206 + -1.428571429 = -2.698313489 x = -2.698313489 Simplifying x = -2.698313489Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.158829369, -2.698313489}
| 6(m-3)=12 | | -14+x+6=-5 | | 7-9a=4 | | 8b-3=-9 | | 12w+11=5 | | 9x-4=0 | | 5x^2+35x-90= | | a+(a+24)+(2a-38)=554 | | a+(375+a)=575 | | a+(a+2)=364 | | 1-3r=0 | | -(4y+4)-(-3y-8)=-1 | | 12(2X-7)=3(8X+2) | | 9+2s-8=9s+3-6s | | -6t+7=67 | | 6s+16s=66 | | -9.8x=19.6 | | 16t=100 | | -4(2b+2)+(9b-4)=0 | | 2.5q-3.6-3.1q=-1.6q-4.7 | | 11x+8-3=10x-2 | | -3y+9=-4+2 | | -3y+9=-4+2 | | 9+x=-4 | | 9+x=4 | | -4y+15=15 | | r-21=-15 | | -3m-21=0 | | 3.2q-1.1-3.5q=-1.3q-5.1 | | -35=-6b+1 | | 2r+29=81 | | 2=7-5a |