If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x2 + -18x + -21 = 0 Reorder the terms: -21 + -18x + 12x2 = 0 Solving -21 + -18x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -6x + 4x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -6x + 4x2)' equal to zero and attempt to solve: Simplifying -7 + -6x + 4x2 = 0 Solving -7 + -6x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.75 + -1.5x + x2 = 0 Move the constant term to the right: Add '1.75' to each side of the equation. -1.75 + -1.5x + 1.75 + x2 = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + -1.5x + x2 = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + -1.5x + x2 = 0 + 1.75 -1.5x + x2 = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 -1.5x + x2 = 1.75 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = 1.75 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 1.75 + 0.5625 Combine like terms: 1.75 + 0.5625 = 2.3125 0.5625 + -1.5x + x2 = 2.3125 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 2.3125 Calculate the square root of the right side: 1.520690633 Break this problem into two subproblems by setting (x + -0.75) equal to 1.520690633 and -1.520690633.Subproblem 1
x + -0.75 = 1.520690633 Simplifying x + -0.75 = 1.520690633 Reorder the terms: -0.75 + x = 1.520690633 Solving -0.75 + x = 1.520690633 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 1.520690633 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.520690633 + 0.75 x = 1.520690633 + 0.75 Combine like terms: 1.520690633 + 0.75 = 2.270690633 x = 2.270690633 Simplifying x = 2.270690633Subproblem 2
x + -0.75 = -1.520690633 Simplifying x + -0.75 = -1.520690633 Reorder the terms: -0.75 + x = -1.520690633 Solving -0.75 + x = -1.520690633 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -1.520690633 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.520690633 + 0.75 x = -1.520690633 + 0.75 Combine like terms: -1.520690633 + 0.75 = -0.770690633 x = -0.770690633 Simplifying x = -0.770690633Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.270690633, -0.770690633}Solution
x = {2.270690633, -0.770690633}
| 3ax=30 | | f(x)=x^2+4x-6 | | -x/6=3 | | 6/4 | | -4x-16=-4 | | (u^2-12u+35)/(3u^2-30u+63) | | n^2+27n+182=0 | | 11x+2=9x-18 | | 20(c+3)-4=36 | | F(x)=10+16x-4x^2 | | 2x-10=20-4x | | -3x+1-4=x | | 6x^2+31x-12=0 | | 8=9-5x | | 5/9a=6+4/9a | | -1/2y+5x=3 | | 7-3(2x-14)=13 | | 3.5=m-.05 | | 12x-5=6x+35 | | 5y-1/2x=3 | | n*2=19 | | 5x-1/2y=3 | | 4(2X+1)3(X-2)=10+5X | | 9x+25=47 | | 25=46-3x | | n+23=42 | | -4=12-2x | | 2x^2/10y | | (2/5)^6-x=5/2 | | x/8+12=16 | | -3=16-x | | 8-5x=7x+10 |