If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 114x = 4 Reorder the terms: 114x + 6x2 = 4 Solving 114x + 6x2 = 4 Solving for variable 'x'. Reorder the terms: -4 + 114x + 6x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 114x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 57x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 57x + 3x2)' equal to zero and attempt to solve: Simplifying -2 + 57x + 3x2 = 0 Solving -2 + 57x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.6666666667 + 19x + x2 = 0 Move the constant term to the right: Add '0.6666666667' to each side of the equation. -0.6666666667 + 19x + 0.6666666667 + x2 = 0 + 0.6666666667 Reorder the terms: -0.6666666667 + 0.6666666667 + 19x + x2 = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + 19x + x2 = 0 + 0.6666666667 19x + x2 = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 19x + x2 = 0.6666666667 The x term is 19x. Take half its coefficient (9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. 19x + 90.25 + x2 = 0.6666666667 + 90.25 Reorder the terms: 90.25 + 19x + x2 = 0.6666666667 + 90.25 Combine like terms: 0.6666666667 + 90.25 = 90.9166666667 90.25 + 19x + x2 = 90.9166666667 Factor a perfect square on the left side: (x + 9.5)(x + 9.5) = 90.9166666667 Calculate the square root of the right side: 9.53502316 Break this problem into two subproblems by setting (x + 9.5) equal to 9.53502316 and -9.53502316.Subproblem 1
x + 9.5 = 9.53502316 Simplifying x + 9.5 = 9.53502316 Reorder the terms: 9.5 + x = 9.53502316 Solving 9.5 + x = 9.53502316 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + x = 9.53502316 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + x = 9.53502316 + -9.5 x = 9.53502316 + -9.5 Combine like terms: 9.53502316 + -9.5 = 0.03502316 x = 0.03502316 Simplifying x = 0.03502316Subproblem 2
x + 9.5 = -9.53502316 Simplifying x + 9.5 = -9.53502316 Reorder the terms: 9.5 + x = -9.53502316 Solving 9.5 + x = -9.53502316 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + x = -9.53502316 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + x = -9.53502316 + -9.5 x = -9.53502316 + -9.5 Combine like terms: -9.53502316 + -9.5 = -19.03502316 x = -19.03502316 Simplifying x = -19.03502316Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.03502316, -19.03502316}Solution
x = {0.03502316, -19.03502316}
| x(8-2x)=0 | | 150x-x^2=5000 | | -6x-13=4x+27 | | 150x-x^2-5000=0 | | 9c=-4p | | 2x(3+5)=0 | | log(6-5x)=2 | | x^3+3xy+2y^3=17 | | 18-3k+9whenk=4 | | x-20=2x | | V^2+5=6v | | 225+5x^2=625 | | 79-8n= | | 7a^2-50a+48=0 | | 3y=12-8x | | 2345+389x+93024*345=900 | | 25+(35)= | | X+7x-1=0 | | 5-x=3(x+1)-2 | | 4x^2-14=2 | | 49+-14x+x^2+14y+y^2=0 | | 31g=20.9 | | -5/3x-2x=-11/9 | | 3(x-2)=13-x | | 15x^2+70x-96=0 | | 4y+7=22+y | | 16=x^2-8y | | 16d+6=18d+20 | | x^3-96=0 | | 4u^2+8u-9=0 | | 31+t=-18 | | x^3-70x-96=0 |