If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 = -12x + -4 Reorder the terms: 6x2 = -4 + -12x Solving 6x2 = -4 + -12x Solving for variable 'x'. Reorder the terms: 4 + 12x + 6x2 = -4 + -12x + 4 + 12x Reorder the terms: 4 + 12x + 6x2 = -4 + 4 + -12x + 12x Combine like terms: -4 + 4 = 0 4 + 12x + 6x2 = 0 + -12x + 12x 4 + 12x + 6x2 = -12x + 12x Combine like terms: -12x + 12x = 0 4 + 12x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 6x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 6x + 3x2)' equal to zero and attempt to solve: Simplifying 2 + 6x + 3x2 = 0 Solving 2 + 6x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.6666666667 + 2x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 2x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 2x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 2x + x2 = 0 + -0.6666666667 2x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 2x + x2 = -0.6666666667 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -0.6666666667 + 1 Reorder the terms: 1 + 2x + x2 = -0.6666666667 + 1 Combine like terms: -0.6666666667 + 1 = 0.3333333333 1 + 2x + x2 = 0.3333333333 Factor a perfect square on the left side: (x + 1)(x + 1) = 0.3333333333 Calculate the square root of the right side: 0.577350269 Break this problem into two subproblems by setting (x + 1) equal to 0.577350269 and -0.577350269.Subproblem 1
x + 1 = 0.577350269 Simplifying x + 1 = 0.577350269 Reorder the terms: 1 + x = 0.577350269 Solving 1 + x = 0.577350269 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0.577350269 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0.577350269 + -1 x = 0.577350269 + -1 Combine like terms: 0.577350269 + -1 = -0.422649731 x = -0.422649731 Simplifying x = -0.422649731Subproblem 2
x + 1 = -0.577350269 Simplifying x + 1 = -0.577350269 Reorder the terms: 1 + x = -0.577350269 Solving 1 + x = -0.577350269 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -0.577350269 + -1 Combine like terms: 1 + -1 = 0 0 + x = -0.577350269 + -1 x = -0.577350269 + -1 Combine like terms: -0.577350269 + -1 = -1.577350269 x = -1.577350269 Simplifying x = -1.577350269Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.422649731, -1.577350269}Solution
x = {-0.422649731, -1.577350269}
| 5x-2y=-9 | | -5z+8=2(2z-5) | | (5x+1)2=7 | | 23-5(x+10)=-12 | | 4x-5=2x-9 | | 8-8=10x+5x | | 5-x=(-7) | | 8x+1=4x+9 | | 6u-16=-2(-3u+8) | | 9-9x=194-44x | | 5x+12=-72-9x | | x^2-9x+18=2x | | 2x=8-(-10) | | 4x^2-21x+5=0 | | -7x-12=-5x+15 | | 21-x^2=4x | | 2x=8(-10) | | -2(4y-3)-8y+6=4(y-2) | | 4x+1=61 | | 12n^2-1000=0 | | 19-46=3(x-2)-6 | | 5x-2=28 | | 4(u+1)+5=25 | | 9x-18=27x-9 | | 4x+33=11x-37 | | 4x-1=43 | | 2x^2+19x=-24 | | 12-3m=2(m-1) | | 4(3y-1)=8y | | 8m-13=6m+1 | | x(10x+15)=0 | | 9+7t-2t^2=0 |