If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x2 + 54x + -24 = 0 Reorder the terms: -24 + 54x + 12x2 = 0 Solving -24 + 54x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + 9x + 2x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + 9x + 2x2)' equal to zero and attempt to solve: Simplifying -4 + 9x + 2x2 = 0 Solving -4 + 9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -2 + 4.5x + x2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + 4.5x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 4.5x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4.5x + x2 = 0 + 2 4.5x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 4.5x + x2 = 2 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = 2 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = 2 + 5.0625 Combine like terms: 2 + 5.0625 = 7.0625 5.0625 + 4.5x + x2 = 7.0625 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = 7.0625 Calculate the square root of the right side: 2.657536453 Break this problem into two subproblems by setting (x + 2.25) equal to 2.657536453 and -2.657536453.Subproblem 1
x + 2.25 = 2.657536453 Simplifying x + 2.25 = 2.657536453 Reorder the terms: 2.25 + x = 2.657536453 Solving 2.25 + x = 2.657536453 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = 2.657536453 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = 2.657536453 + -2.25 x = 2.657536453 + -2.25 Combine like terms: 2.657536453 + -2.25 = 0.407536453 x = 0.407536453 Simplifying x = 0.407536453Subproblem 2
x + 2.25 = -2.657536453 Simplifying x + 2.25 = -2.657536453 Reorder the terms: 2.25 + x = -2.657536453 Solving 2.25 + x = -2.657536453 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = -2.657536453 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = -2.657536453 + -2.25 x = -2.657536453 + -2.25 Combine like terms: -2.657536453 + -2.25 = -4.907536453 x = -4.907536453 Simplifying x = -4.907536453Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.407536453, -4.907536453}Solution
x = {0.407536453, -4.907536453}
| 6-2z=14 | | 80x+60y=85 | | 1.5(-2x-4)=(3.5+4x)2-2 | | -1(2x+3)=2(-4x-3) | | 2x+6-2=6x-16 | | 5m+2m+2=23 | | 30m^2-11m-30=0 | | 10x+33=4x+70 | | 9r^2+100=0 | | 4-5g=19 | | 8+x+(x-2)=23.2 | | 63=12x-9 | | 0.2(2x-3)=5 | | 10x-8=4x+52 | | 5x-3=31 | | 9y-3(y+4)=(4+y)3 | | 17=5-3 | | 25x^2-15xy+2y^2=0 | | 18x-4=11x+52 | | -2y-17=13 | | 14+8g-6=40 | | 2+2m=r | | -2g+3=-9 | | 6y-3=48x | | b*7=10 | | 1.8r+9=-5.7r+6 | | 11(21m+10)=0 | | 9-2z=21 | | 5y-4=0 | | 3(-4+4n)=6+3n | | 8s-6=4s+44 | | 23+4z=31 |