If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x(x + 2) = 12 Reorder the terms: 3x(2 + x) = 12 (2 * 3x + x * 3x) = 12 (6x + 3x2) = 12 Solving 6x + 3x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 6x + 3x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 2x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + 2x + x2)' equal to zero and attempt to solve: Simplifying -4 + 2x + x2 = 0 Solving -4 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '4' to each side of the equation. -4 + 2x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + 2x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + x2 = 0 + 4 2x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 2x + x2 = 4 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 = 4 + 1 Reorder the terms: 1 + 2x + x2 = 4 + 1 Combine like terms: 4 + 1 = 5 1 + 2x + x2 = 5 Factor a perfect square on the left side: (x + 1)(x + 1) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (x + 1) equal to 2.236067978 and -2.236067978.Subproblem 1
x + 1 = 2.236067978 Simplifying x + 1 = 2.236067978 Reorder the terms: 1 + x = 2.236067978 Solving 1 + x = 2.236067978 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 = 2.236067978 + -1 Combine like terms: 1 + -1 = 0 0 + x = 2.236067978 + -1 x = 2.236067978 + -1 Combine like terms: 2.236067978 + -1 = 1.236067978 x = 1.236067978 Simplifying x = 1.236067978Subproblem 2
x + 1 = -2.236067978 Simplifying x + 1 = -2.236067978 Reorder the terms: 1 + x = -2.236067978 Solving 1 + x = -2.236067978 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 = -2.236067978 + -1 Combine like terms: 1 + -1 = 0 0 + x = -2.236067978 + -1 x = -2.236067978 + -1 Combine like terms: -2.236067978 + -1 = -3.236067978 x = -3.236067978 Simplifying x = -3.236067978Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.236067978, -3.236067978}Solution
x = {1.236067978, -3.236067978}
| 30=237 | | 2x^3-6x=12x | | x^3/8-14x=3x^2/4 | | 4x/7=-16 | | x+(x+4)+2(x+3)=40 | | 50/3=19/8+a | | 3x+7y=46 | | (6/x)+(8/(x+5))=3 | | 54+29.99x=353.90 | | 67/10+h=21/5 | | 7x/9=28 | | 2(3x+2)+4(2x-1)=28 | | x^2+15/8x=7/8x | | 121x^2-532x+282=0 | | 15-y=1/2 | | A-5(f+2)=9+5f | | 75.27+3.99x=143.10 | | 69=4u+13 | | 69=4u+14 | | 75.27+3.99=143.10 | | 3x-7=8x+4 | | x-4x+2x-3x= | | x-25/2=-240/8 | | 4x-3=5+3x | | 2/5(2-q)=1/5(q+7) | | 11x-7y=1 | | 2b+3z=2z+7b | | -2=m+13.57 | | 4(w+3)=5(w-3) | | 4x^2-x+1/16=0 | | h11/h9 | | n-12=-13.95 |