If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9x2 + 9x + -3 = 0 Reorder the terms: -3 + 9x + 9x2 = 0 Solving -3 + 9x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 3x + 3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 3x + 3x2)' equal to zero and attempt to solve: Simplifying -1 + 3x + 3x2 = 0 Solving -1 + 3x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.3333333333 + x + x2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + x + 0.3333333333 + x2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + x + x2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + x + x2 = 0 + 0.3333333333 x + x2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 x + x2 = 0.3333333333 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 = 0.3333333333 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 0.3333333333 + 0.25 Combine like terms: 0.3333333333 + 0.25 = 0.5833333333 1.25 + x2 = 0.5833333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 0.5833333333 Calculate the square root of the right side: 0.763762616 Break this problem into two subproblems by setting (x + 0.5) equal to 0.763762616 and -0.763762616.Subproblem 1
x + 0.5 = 0.763762616 Simplifying x + 0.5 = 0.763762616 Reorder the terms: 0.5 + x = 0.763762616 Solving 0.5 + x = 0.763762616 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 = 0.763762616 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.763762616 + -0.5 x = 0.763762616 + -0.5 Combine like terms: 0.763762616 + -0.5 = 0.263762616 x = 0.263762616 Simplifying x = 0.263762616Subproblem 2
x + 0.5 = -0.763762616 Simplifying x + 0.5 = -0.763762616 Reorder the terms: 0.5 + x = -0.763762616 Solving 0.5 + x = -0.763762616 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 = -0.763762616 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.763762616 + -0.5 x = -0.763762616 + -0.5 Combine like terms: -0.763762616 + -0.5 = -1.263762616 x = -1.263762616 Simplifying x = -1.263762616Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.263762616, -1.263762616}Solution
x = {0.263762616, -1.263762616}
| -x+10+3x-13=-4 | | (5x-7)+(3x+17)=180 | | -5x+26=96 | | Y-5=8(x+7) | | 8x+3y=122 | | 3(13-29)=-3+9 | | 2x-5+11=24 | | h-53=25 | | 2(4x+2)-2x=9x-1 | | (x^11)-1=0 | | 5x^2=9x-2 | | 4(y+2)=3y-3 | | 8x+24-16=5x+8+3x | | 5(2k-2)=2(5k-7) | | 10x+50=180 | | 5(x+1)+4=2(x+-3) | | -2n-3+5=18 | | -30=2u+7(u+6) | | 48x=24 | | -1=3+2u | | 4(5+20x)-30x=10(12+x) | | 8x-48= | | 30r+-11=12+15r | | 0=x+12+(5x) | | f-4.1=8.6 | | 8y+2+25y-20=180 | | 5(6+a)+4a-9= | | 5(a+2)=7(3-a) | | 4x+3(2x+7)= | | 25x^2+30x-30=0 | | -8=11-r | | 8=3#4c+12-c+14 |