If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 6x + 9 = 5 + 16 + -8x Reorder the terms: 9 + 6x + 2x2 = 5 + 16 + -8x Combine like terms: 5 + 16 = 21 9 + 6x + 2x2 = 21 + -8x Solving 9 + 6x + 2x2 = 21 + -8x Solving for variable 'x'. Reorder the terms: 9 + -21 + 6x + 8x + 2x2 = 21 + -8x + -21 + 8x Combine like terms: 9 + -21 = -12 -12 + 6x + 8x + 2x2 = 21 + -8x + -21 + 8x Combine like terms: 6x + 8x = 14x -12 + 14x + 2x2 = 21 + -8x + -21 + 8x Reorder the terms: -12 + 14x + 2x2 = 21 + -21 + -8x + 8x Combine like terms: 21 + -21 = 0 -12 + 14x + 2x2 = 0 + -8x + 8x -12 + 14x + 2x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 7x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 7x + x2)' equal to zero and attempt to solve: Simplifying -6 + 7x + x2 = 0 Solving -6 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '6' to each side of the equation. -6 + 7x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 7x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x + x2 = 0 + 6 7x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 7x + x2 = 6 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = 6 + 12.25 Reorder the terms: 12.25 + 7x + x2 = 6 + 12.25 Combine like terms: 6 + 12.25 = 18.25 12.25 + 7x + x2 = 18.25 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = 18.25 Calculate the square root of the right side: 4.272001873 Break this problem into two subproblems by setting (x + 3.5) equal to 4.272001873 and -4.272001873.Subproblem 1
x + 3.5 = 4.272001873 Simplifying x + 3.5 = 4.272001873 Reorder the terms: 3.5 + x = 4.272001873 Solving 3.5 + x = 4.272001873 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 4.272001873 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 4.272001873 + -3.5 x = 4.272001873 + -3.5 Combine like terms: 4.272001873 + -3.5 = 0.772001873 x = 0.772001873 Simplifying x = 0.772001873Subproblem 2
x + 3.5 = -4.272001873 Simplifying x + 3.5 = -4.272001873 Reorder the terms: 3.5 + x = -4.272001873 Solving 3.5 + x = -4.272001873 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -4.272001873 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -4.272001873 + -3.5 x = -4.272001873 + -3.5 Combine like terms: -4.272001873 + -3.5 = -7.772001873 x = -7.772001873 Simplifying x = -7.772001873Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.772001873, -7.772001873}Solution
x = {0.772001873, -7.772001873}
| -4y^2+32y-64= | | =1.5x-0.4 | | 3x+5y=33 | | 375x^3-3=0 | | x+x+8+x=x+10+x | | -(x-3)+6(x-1)=-3x+8x | | -4y^2+32-64= | | =-2x+14 | | 8-3m=-3(m-3)-1 | | 15=2x^2-3x+7 | | 0=-x^2+x+30 | | 2d^2-5d=25 | | .75x-2+.4=90 | | 74+15w=129 | | -7(6x+1)-6=-7-6(2+8x) | | 6x+5=3(2x-4) | | 2y+3(y-4)=2(y-3) | | f/4=4 | | t/8=2 | | 14=(0)t+(0.5)(9.8)t^2 | | -3x+5y=-33 | | 20+4H=32 | | 3x-1+10x^2= | | -n+7(n-4)=-2(5n-2) | | x^3+7x^2+2x=0 | | -x^2+x+56=0 | | 40+14j=2(-4j+-13) | | -6h+2h-11=-2(2h-3)+4 | | x=.5(3+7)4 | | p/5=6 | | -6x+3y=-30 | | -37+2m=-7(-m+1) |