If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 6x + -24 = 0 Reorder the terms: -24 + 6x + 6x2 = 0 Solving -24 + 6x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + x + x2)' equal to zero and attempt to solve: Simplifying -4 + x + x2 = 0 Solving -4 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '4' to each side of the equation. -4 + x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + x2 = 0 + 4 x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 x + x2 = 4 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = 4 + 0.25 Reorder the terms: 0.25 + x + x2 = 4 + 0.25 Combine like terms: 4 + 0.25 = 4.25 0.25 + x + x2 = 4.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 4.25 Calculate the square root of the right side: 2.061552813 Break this problem into two subproblems by setting (x + 0.5) equal to 2.061552813 and -2.061552813.Subproblem 1
x + 0.5 = 2.061552813 Simplifying x + 0.5 = 2.061552813 Reorder the terms: 0.5 + x = 2.061552813 Solving 0.5 + x = 2.061552813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 2.061552813 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 2.061552813 + -0.5 x = 2.061552813 + -0.5 Combine like terms: 2.061552813 + -0.5 = 1.561552813 x = 1.561552813 Simplifying x = 1.561552813Subproblem 2
x + 0.5 = -2.061552813 Simplifying x + 0.5 = -2.061552813 Reorder the terms: 0.5 + x = -2.061552813 Solving 0.5 + x = -2.061552813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -2.061552813 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -2.061552813 + -0.5 x = -2.061552813 + -0.5 Combine like terms: -2.061552813 + -0.5 = -2.561552813 x = -2.561552813 Simplifying x = -2.561552813Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.561552813, -2.561552813}Solution
x = {1.561552813, -2.561552813}
| -10+4f=4f-10 | | 20a+11s=7593 | | 14/10=9/x | | 8x+3(80)=6x+480 | | 64r^2=25 | | 14/5z=40 | | 3j-8=2+5j | | 9/6=21/d | | -8y-6=-7y | | H(t)=-3t^2+4t | | X+2x-40+x+60=900 | | 6x-8=29 | | 1/2z=1/8 | | 15x+4x+28=180 | | 8x+1(80)=3x+240 | | (3-x^2)=2 | | -5-9u=-10u | | 2x+4=5y+5 | | 11x+90=90 | | 2(x+4)-7x=-12 | | 9n-6n^3= | | x-3x=-2x-19 | | 2-3d+5d= | | 3/8-10/7r=-187-8 | | 21x+21=25x+1 | | 3x910x36/6 | | -5u+18u=-13 | | -3(r-10)=-18 | | 8x+1(80)=6x+480 | | 80/6 | | 3(m-17)=-6 | | 3x^2+19x-5.7=0 |