If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x(x + 3) = 60 + 6x Reorder the terms: 12x(3 + x) = 60 + 6x (3 * 12x + x * 12x) = 60 + 6x (36x + 12x2) = 60 + 6x Solving 36x + 12x2 = 60 + 6x Solving for variable 'x'. Reorder the terms: -60 + 36x + -6x + 12x2 = 60 + 6x + -60 + -6x Combine like terms: 36x + -6x = 30x -60 + 30x + 12x2 = 60 + 6x + -60 + -6x Reorder the terms: -60 + 30x + 12x2 = 60 + -60 + 6x + -6x Combine like terms: 60 + -60 = 0 -60 + 30x + 12x2 = 0 + 6x + -6x -60 + 30x + 12x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 30x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-10 + 5x + 2x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-10 + 5x + 2x2)' equal to zero and attempt to solve: Simplifying -10 + 5x + 2x2 = 0 Solving -10 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -5 + 2.5x + x2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + 2.5x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + 2.5x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2.5x + x2 = 0 + 5 2.5x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 2.5x + x2 = 5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 5 + 1.5625 Combine like terms: 5 + 1.5625 = 6.5625 1.5625 + 2.5x + x2 = 6.5625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (x + 1.25) equal to 2.561737691 and -2.561737691.Subproblem 1
x + 1.25 = 2.561737691 Simplifying x + 1.25 = 2.561737691 Reorder the terms: 1.25 + x = 2.561737691 Solving 1.25 + x = 2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 2.561737691 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 2.561737691 + -1.25 x = 2.561737691 + -1.25 Combine like terms: 2.561737691 + -1.25 = 1.311737691 x = 1.311737691 Simplifying x = 1.311737691Subproblem 2
x + 1.25 = -2.561737691 Simplifying x + 1.25 = -2.561737691 Reorder the terms: 1.25 + x = -2.561737691 Solving 1.25 + x = -2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -2.561737691 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -2.561737691 + -1.25 x = -2.561737691 + -1.25 Combine like terms: -2.561737691 + -1.25 = -3.811737691 x = -3.811737691 Simplifying x = -3.811737691Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.311737691, -3.811737691}Solution
x = {1.311737691, -3.811737691}
| 8(3s+3)=144 | | -28=4x-6x-4 | | 2(2l+4)=48 | | -38-2x=-4(1-8x) | | 40x^2=75x | | (5x-3)=(33-x) | | -3(3u-6)+3u=3(u+8) | | -w+2x+2y-z=-7 | | 3m^3+8m^3-3+m^3-2m^2= | | .4x^2+x=0.3 | | 4w+3x+y+2z=9 | | 2(a-2)=14 | | 3x+6-2x=12 | | -2-11=9x+16-8x | | 4.34(3.8a+9.8)=-24.5544 | | Z-9=y | | (4x-20)=110 | | P(x)=x(x+1)(x-2)(x-4) | | (u+2)8=32 | | 29=12n+5 | | 2(4x+4)+3(2x+7)-10x-4= | | 7(2l+2)=98 | | -3.5(7.7x-8.3)=-7.8x-39.89 | | 4-27*x^3+27*x^4=0 | | 1.8-16.3=-1.9y+13.3 | | (4x-20)=180 | | (q-6)6=42 | | 19y-7=11y | | 12+x=9-6x | | 17=4k-3 | | 11-5x=4+x | | 9y+9=8y-7 |