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 + -13 = 42 + -38x Reorder the terms: -13 + 3x + 7x2 = 42 + -38x Solving -13 + 3x + 7x2 = 42 + -38x Solving for variable 'x'. Reorder the terms: -13 + -42 + 3x + 38x + 7x2 = 42 + -38x + -42 + 38x Combine like terms: -13 + -42 = -55 -55 + 3x + 38x + 7x2 = 42 + -38x + -42 + 38x Combine like terms: 3x + 38x = 41x -55 + 41x + 7x2 = 42 + -38x + -42 + 38x Reorder the terms: -55 + 41x + 7x2 = 42 + -42 + -38x + 38x Combine like terms: 42 + -42 = 0 -55 + 41x + 7x2 = 0 + -38x + 38x -55 + 41x + 7x2 = -38x + 38x Combine like terms: -38x + 38x = 0 -55 + 41x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -7.857142857 + 5.857142857x + x2 = 0 Move the constant term to the right: Add '7.857142857' to each side of the equation. -7.857142857 + 5.857142857x + 7.857142857 + x2 = 0 + 7.857142857 Reorder the terms: -7.857142857 + 7.857142857 + 5.857142857x + x2 = 0 + 7.857142857 Combine like terms: -7.857142857 + 7.857142857 = 0.000000000 0.000000000 + 5.857142857x + x2 = 0 + 7.857142857 5.857142857x + x2 = 0 + 7.857142857 Combine like terms: 0 + 7.857142857 = 7.857142857 5.857142857x + x2 = 7.857142857 The x term is 5.857142857x. Take half its coefficient (2.928571429). Square it (8.576530615) and add it to both sides. Add '8.576530615' to each side of the equation. 5.857142857x + 8.576530615 + x2 = 7.857142857 + 8.576530615 Reorder the terms: 8.576530615 + 5.857142857x + x2 = 7.857142857 + 8.576530615 Combine like terms: 7.857142857 + 8.576530615 = 16.433673472 8.576530615 + 5.857142857x + x2 = 16.433673472 Factor a perfect square on the left side: (x + 2.928571429)(x + 2.928571429) = 16.433673472 Calculate the square root of the right side: 4.05384675 Break this problem into two subproblems by setting (x + 2.928571429) equal to 4.05384675 and -4.05384675.Subproblem 1
x + 2.928571429 = 4.05384675 Simplifying x + 2.928571429 = 4.05384675 Reorder the terms: 2.928571429 + x = 4.05384675 Solving 2.928571429 + x = 4.05384675 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.928571429' to each side of the equation. 2.928571429 + -2.928571429 + x = 4.05384675 + -2.928571429 Combine like terms: 2.928571429 + -2.928571429 = 0.000000000 0.000000000 + x = 4.05384675 + -2.928571429 x = 4.05384675 + -2.928571429 Combine like terms: 4.05384675 + -2.928571429 = 1.125275321 x = 1.125275321 Simplifying x = 1.125275321Subproblem 2
x + 2.928571429 = -4.05384675 Simplifying x + 2.928571429 = -4.05384675 Reorder the terms: 2.928571429 + x = -4.05384675 Solving 2.928571429 + x = -4.05384675 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.928571429' to each side of the equation. 2.928571429 + -2.928571429 + x = -4.05384675 + -2.928571429 Combine like terms: 2.928571429 + -2.928571429 = 0.000000000 0.000000000 + x = -4.05384675 + -2.928571429 x = -4.05384675 + -2.928571429 Combine like terms: -4.05384675 + -2.928571429 = -6.982418179 x = -6.982418179 Simplifying x = -6.982418179Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.125275321, -6.982418179}
| 5x^2+7x-17=25-22x | | 15-7x+2(3x-4)=8-x | | -2x=-19(x-1)-19 | | 2x^2=3x+35 | | .6666666667x+5-1.333333333x-4=1 | | -5(10-2x)+6(x-1)=4(4x-14) | | 10x-15+3(x-2)=13x+400 | | 11a+9=7 | | -6(-2)-1/4(-12)=9 | | -3x-9(x+2)=-18 | | 1/3(9)-2(-2)=7 | | 1/3(9)-4=7 | | 0.6(x-10)=12 | | 1/3*9= | | 5x-9-3(x+1)=2x-12 | | 2(x-5)+9=2x+1 | | 58+128= | | 3(7-3y)+2y=10 | | 1/3+1/60=7/18 | | 1/3+-1=3/5 | | 1/2(6w-4)=4w-9 | | 4m/0.8=-7 | | -18=-9.6+f | | 15m+24=39 | | y-57=-28 | | m-2.34=8.2 | | -3c=3/20 | | -1/15+r=3/5 | | y+2.8=-1.4 | | -11x=-2 | | r+5/6=-31/6 | | 5d-3+2d=4d-9 |