If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x = -6x2 + 21 Reorder the terms: 6x = 21 + -6x2 Solving 6x = 21 + -6x2 Solving for variable 'x'. Reorder the terms: -21 + 6x + 6x2 = 21 + -6x2 + -21 + 6x2 Reorder the terms: -21 + 6x + 6x2 = 21 + -21 + -6x2 + 6x2 Combine like terms: 21 + -21 = 0 -21 + 6x + 6x2 = 0 + -6x2 + 6x2 -21 + 6x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -21 + 6x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 2x + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + 2x + 2x2)' equal to zero and attempt to solve: Simplifying -7 + 2x + 2x2 = 0 Solving -7 + 2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3.5 + x + x2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + x + 3.5 + x2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + x + x2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x + x2 = 0 + 3.5 x + x2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 x + x2 = 3.5 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. + 0.25 + x2 = 3.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 3.5 + 0.25 Combine like terms: 3.5 + 0.25 = 3.75 1.25 + x2 = 3.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 3.75 Calculate the square root of the right side: 1.936491673 Break this problem into two subproblems by setting (x + 0.5) equal to 1.936491673 and -1.936491673.Subproblem 1
x + 0.5 = 1.936491673 Simplifying x + 0.5 = 1.936491673 Reorder the terms: 0.5 + x = 1.936491673 Solving 0.5 + x = 1.936491673 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 = 1.936491673 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.936491673 + -0.5 x = 1.936491673 + -0.5 Combine like terms: 1.936491673 + -0.5 = 1.436491673 x = 1.436491673 Simplifying x = 1.436491673Subproblem 2
x + 0.5 = -1.936491673 Simplifying x + 0.5 = -1.936491673 Reorder the terms: 0.5 + x = -1.936491673 Solving 0.5 + x = -1.936491673 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 = -1.936491673 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.936491673 + -0.5 x = -1.936491673 + -0.5 Combine like terms: -1.936491673 + -0.5 = -2.436491673 x = -2.436491673 Simplifying x = -2.436491673Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.436491673, -2.436491673}Solution
x = {1.436491673, -2.436491673}
| 125=100*a*100 | | 0.16=100*a*84 | | 2(m)=5(m-2) | | 16-2a+7-5a= | | 3(z)=2(z+1) | | [z^2-6z]/[9] | | x-7=9+x | | (2x/5)-x=(x/10)-21/2 | | 3m-(-17m)-1-16-15m= | | 0.25x+8.25=0.75x+9.75 | | x^2+3x+2+ax+2a= | | 3=k/1.5 | | 11x+8.50=10.50x+10 | | y=-2x^2-16x-32 | | 6(3z-1)-5(z+1)=6(z+1) | | 2-(-2u+9)=9u+4 | | p^2+1-10p=0 | | 6a-2b+7ab-6b-3ab= | | 6x-200=17700 | | 7x-200=17700 | | Y=4/9x^2 | | 7x+200=17700 | | 6x+200=17700 | | 7x+3y=78 | | 2c-6=2 | | 6y-8=9y+13 | | (y+2)dx+(x-2)dy=0 | | x^2+0.02044536x-(0.0002657894985)=0 | | -7(t-9)-(t+8)=11 | | 2(3.2727)-9y=-8 | | 0=-4.9t^2-3t+950 | | 3a+4b=-8b+x |