If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -6x2 + 9x + 9 = 0 Reorder the terms: 9 + 9x + -6x2 = 0 Solving 9 + 9x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(3 + 3x + -2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + 3x + -2x2)' equal to zero and attempt to solve: Simplifying 3 + 3x + -2x2 = 0 Solving 3 + 3x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -1.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -1.5x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -1.5x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.5x + x2 = 0 + 1.5 -1.5x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -1.5x + x2 = 1.5 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 = 1.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 1.5 + 0.5625 Combine like terms: 1.5 + 0.5625 = 2.0625 0.5625 + -1.5x + x2 = 2.0625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (x + -0.75) equal to 1.436140662 and -1.436140662.Subproblem 1
x + -0.75 = 1.436140662 Simplifying x + -0.75 = 1.436140662 Reorder the terms: -0.75 + x = 1.436140662 Solving -0.75 + x = 1.436140662 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 = 1.436140662 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.436140662 + 0.75 x = 1.436140662 + 0.75 Combine like terms: 1.436140662 + 0.75 = 2.186140662 x = 2.186140662 Simplifying x = 2.186140662Subproblem 2
x + -0.75 = -1.436140662 Simplifying x + -0.75 = -1.436140662 Reorder the terms: -0.75 + x = -1.436140662 Solving -0.75 + x = -1.436140662 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 = -1.436140662 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.436140662 + 0.75 x = -1.436140662 + 0.75 Combine like terms: -1.436140662 + 0.75 = -0.686140662 x = -0.686140662 Simplifying x = -0.686140662Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.186140662, -0.686140662}Solution
x = {2.186140662, -0.686140662}
| 21z^2-70z+49= | | w-0.1=0.32 | | (8x+4)(5x+10)=0 | | 2x+5y=75 | | 5n+3=14-16 | | 3x+14y-8y+2-x= | | 2x(3x+3)=0 | | z^2+(1+i)z=4-7i | | z(4z+1)=0 | | 9x^2+90x+226=0 | | 40x^3-80x^2=0 | | -6+8m=-5+2m-1 | | ln(4x+5)=3 | | 3x^2-18x+30= | | 6t+60=12t | | 3x(9x-27)=0 | | 72=6(y-4)+2y+8y | | 0=-15+3x | | 8-7x-x^2=0 | | -2y+6=12 | | y=-15+3(0) | | 4(-9+7x)=300 | | (3x+21)=(4x+9) | | -55=-b+5+11b | | x^2-0.8x=0 | | 3(3n+3)+1=6(9+n) | | 40x+4x^2=0 | | -7x-(-10-x)=-58 | | 4x(x+10)=0 | | 7x+(x+2)=29 | | 17a=41 | | 10+4/2*(5-1+3)= |