If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 42x + -170 = 0 Reorder the terms: -170 + 42x + 4x2 = 0 Solving -170 + 42x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-85 + 21x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-85 + 21x + 2x2)' equal to zero and attempt to solve: Simplifying -85 + 21x + 2x2 = 0 Solving -85 + 21x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -42.5 + 10.5x + x2 = 0 Move the constant term to the right: Add '42.5' to each side of the equation. -42.5 + 10.5x + 42.5 + x2 = 0 + 42.5 Reorder the terms: -42.5 + 42.5 + 10.5x + x2 = 0 + 42.5 Combine like terms: -42.5 + 42.5 = 0.0 0.0 + 10.5x + x2 = 0 + 42.5 10.5x + x2 = 0 + 42.5 Combine like terms: 0 + 42.5 = 42.5 10.5x + x2 = 42.5 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = 42.5 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = 42.5 + 27.5625 Combine like terms: 42.5 + 27.5625 = 70.0625 27.5625 + 10.5x + x2 = 70.0625 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = 70.0625 Calculate the square root of the right side: 8.370334521 Break this problem into two subproblems by setting (x + 5.25) equal to 8.370334521 and -8.370334521.Subproblem 1
x + 5.25 = 8.370334521 Simplifying x + 5.25 = 8.370334521 Reorder the terms: 5.25 + x = 8.370334521 Solving 5.25 + x = 8.370334521 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = 8.370334521 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = 8.370334521 + -5.25 x = 8.370334521 + -5.25 Combine like terms: 8.370334521 + -5.25 = 3.120334521 x = 3.120334521 Simplifying x = 3.120334521Subproblem 2
x + 5.25 = -8.370334521 Simplifying x + 5.25 = -8.370334521 Reorder the terms: 5.25 + x = -8.370334521 Solving 5.25 + x = -8.370334521 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = -8.370334521 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = -8.370334521 + -5.25 x = -8.370334521 + -5.25 Combine like terms: -8.370334521 + -5.25 = -13.620334521 x = -13.620334521 Simplifying x = -13.620334521Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.120334521, -13.620334521}Solution
x = {3.120334521, -13.620334521}
| 3(2d-8)=11d-189 | | 3(2d-8)=11d-18 | | 3(2d-8)=11d-188 | | 2,000,000x=160,000 | | 3=7(4-2u)+-6u | | 3-3(13)=4 | | x^2-3x+96=0 | | -5(-3x-3)=-45 | | -7(y+3)= | | 14x=-280 | | 3z+18= | | -5+h=-16 | | 3m(2m+1)(m-3)=0 | | x(2,000,000)=160,000 | | -6+2x+7x=102 | | 37-(2x+7)=2(x+5)+x | | 3x+8=44-2x | | 5x+6.4=22 | | 6+q=9+3q | | 87=-2n+5(-3n-3) | | (x+4)-2(3-4x)=2(x+4)-3 | | -7.8x=-1.58 | | -6x+3x+17-11x= | | 9x-72=9(x-10) | | x+5=7x+19 | | -.2m+13=.2m-6 | | 7(6x+3)=98 | | 4x-3(y-2)=15-y | | 5x-1x=18+40-6 | | -10+13x+1-1x= | | 0.50x+0.35(50)=41.5 | | 3y-5=2y-3 |