If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 18x + -20 = 0 Reorder the terms: -20 + 18x + 6x2 = 0 Solving -20 + 18x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 9x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + 9x + 3x2)' equal to zero and attempt to solve: Simplifying -10 + 9x + 3x2 = 0 Solving -10 + 9x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -3.333333333 + 3x + x2 = 0 Move the constant term to the right: Add '3.333333333' to each side of the equation. -3.333333333 + 3x + 3.333333333 + x2 = 0 + 3.333333333 Reorder the terms: -3.333333333 + 3.333333333 + 3x + x2 = 0 + 3.333333333 Combine like terms: -3.333333333 + 3.333333333 = 0.000000000 0.000000000 + 3x + x2 = 0 + 3.333333333 3x + x2 = 0 + 3.333333333 Combine like terms: 0 + 3.333333333 = 3.333333333 3x + x2 = 3.333333333 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = 3.333333333 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 3.333333333 + 2.25 Combine like terms: 3.333333333 + 2.25 = 5.583333333 2.25 + 3x + x2 = 5.583333333 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 5.583333333 Calculate the square root of the right side: 2.362907813 Break this problem into two subproblems by setting (x + 1.5) equal to 2.362907813 and -2.362907813.Subproblem 1
x + 1.5 = 2.362907813 Simplifying x + 1.5 = 2.362907813 Reorder the terms: 1.5 + x = 2.362907813 Solving 1.5 + x = 2.362907813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 2.362907813 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 2.362907813 + -1.5 x = 2.362907813 + -1.5 Combine like terms: 2.362907813 + -1.5 = 0.862907813 x = 0.862907813 Simplifying x = 0.862907813Subproblem 2
x + 1.5 = -2.362907813 Simplifying x + 1.5 = -2.362907813 Reorder the terms: 1.5 + x = -2.362907813 Solving 1.5 + x = -2.362907813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -2.362907813 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -2.362907813 + -1.5 x = -2.362907813 + -1.5 Combine like terms: -2.362907813 + -1.5 = -3.862907813 x = -3.862907813 Simplifying x = -3.862907813Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.862907813, -3.862907813}Solution
x = {0.862907813, -3.862907813}
| 8v^2-30v+18= | | 4c+6=2 | | v^2-30v+18= | | findzerosx^2-3x+2=0 | | 2(3x+5)-2=6x+8 | | 2x^2+15-13=-5 | | findzerosx^2-3x=2 | | 40x^2+67x+28= | | 3m^2+13m+15= | | 2x^2-3x-5+2x= | | 14y=13(y+3) | | 30x^2-23x-14= | | 3(4x-2)=6(2x+3) | | 8a+3=6a+4 | | 6(1.5x-1)=3(3x-2) | | 7a^2+15ab+2b^2= | | -5(x+1)-13=21+6 | | -10=z-8 | | 8x-1=-2(-4x+2) | | 40=-4(a+2) | | 2(x-5)=40 | | x-9=-8+5 | | 8x^2-22xy+5y^2= | | -5(x+2)-43=7-25 | | 7x-2(x+3)=x+6+4x | | 6x+11x^2-5= | | 5x-8-10x= | | 6x+2=6(x-4) | | 21x^2+26x+8= | | 14n-4n+8=98 | | 3t-(-5.4)=5.4 | | -49+8x=11x+41 |