If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -21x + -9 = 0 Reorder the terms: -9 + -21x + 6x2 = 0 Solving -9 + -21x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -7x + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -7x + 2x2)' equal to zero and attempt to solve: Simplifying -3 + -7x + 2x2 = 0 Solving -3 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + -3.5x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -3.5x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -3.5x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3.5x + x2 = 0 + 1.5 -3.5x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -3.5x + x2 = 1.5 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = 1.5 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = 1.5 + 3.0625 Combine like terms: 1.5 + 3.0625 = 4.5625 3.0625 + -3.5x + x2 = 4.5625 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = 4.5625 Calculate the square root of the right side: 2.136000936 Break this problem into two subproblems by setting (x + -1.75) equal to 2.136000936 and -2.136000936.Subproblem 1
x + -1.75 = 2.136000936 Simplifying x + -1.75 = 2.136000936 Reorder the terms: -1.75 + x = 2.136000936 Solving -1.75 + x = 2.136000936 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + x = 2.136000936 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = 2.136000936 + 1.75 x = 2.136000936 + 1.75 Combine like terms: 2.136000936 + 1.75 = 3.886000936 x = 3.886000936 Simplifying x = 3.886000936Subproblem 2
x + -1.75 = -2.136000936 Simplifying x + -1.75 = -2.136000936 Reorder the terms: -1.75 + x = -2.136000936 Solving -1.75 + x = -2.136000936 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + x = -2.136000936 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = -2.136000936 + 1.75 x = -2.136000936 + 1.75 Combine like terms: -2.136000936 + 1.75 = -0.386000936 x = -0.386000936 Simplifying x = -0.386000936Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.886000936, -0.386000936}Solution
x = {3.886000936, -0.386000936}
| 16x^3+52x^2-48x=0 | | 14x^2+12x=2 | | -74+12x=7x+71 | | 16-39=39+40 | | 16+4y=32 | | r-(-4)=10 | | 4x/9=7/8 | | 1.3q-1.8-4.7q=-4.4q-3.7 | | 111-t/2=t/3-14 | | 10x-64=80+x | | 5y^2=-13y+6 | | 2x^2+10x-218=0 | | 60-3u=75 | | P(2)=10(2)-7 | | y+6x=4 | | P(90846106)=10(90846106)-7 | | 3=-p-9 | | 2y+8x=14 | | 2y+8x=-4 | | -3+9n=69 | | P(6548)=10(6548)-7 | | 14-17n=-7n-7n | | 2y+4=x-2 | | 9=9+2k | | 5x-54=46+x | | P(36)=10(36)-7 | | 33=12m-3 | | -9x=-1-y | | 92=3r+62 | | P(5)=10(5)-7 | | -2+7a=8a+6 | | 0=-3x^2-2x-5 |