If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 10x + -6 = 0 Reorder the terms: -6 + 10x + 2x2 = 0 Solving -6 + 10x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 5x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 5x + x2)' equal to zero and attempt to solve: Simplifying -3 + 5x + x2 = 0 Solving -3 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '3' to each side of the equation. -3 + 5x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 5x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + x2 = 0 + 3 5x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 5x + x2 = 3 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = 3 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 3 + 6.25 Combine like terms: 3 + 6.25 = 9.25 6.25 + 5x + x2 = 9.25 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 9.25 Calculate the square root of the right side: 3.041381265 Break this problem into two subproblems by setting (x + 2.5) equal to 3.041381265 and -3.041381265.Subproblem 1
x + 2.5 = 3.041381265 Simplifying x + 2.5 = 3.041381265 Reorder the terms: 2.5 + x = 3.041381265 Solving 2.5 + x = 3.041381265 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 3.041381265 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 3.041381265 + -2.5 x = 3.041381265 + -2.5 Combine like terms: 3.041381265 + -2.5 = 0.541381265 x = 0.541381265 Simplifying x = 0.541381265Subproblem 2
x + 2.5 = -3.041381265 Simplifying x + 2.5 = -3.041381265 Reorder the terms: 2.5 + x = -3.041381265 Solving 2.5 + x = -3.041381265 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -3.041381265 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -3.041381265 + -2.5 x = -3.041381265 + -2.5 Combine like terms: -3.041381265 + -2.5 = -5.541381265 x = -5.541381265 Simplifying x = -5.541381265Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.541381265, -5.541381265}Solution
x = {0.541381265, -5.541381265}
| 30x^2-12x+1= | | 4x^2=-16x-16 | | 80x^2+100x+30= | | 4=9k^2 | | 20x^2-13x+2= | | 20a-3a=34 | | 7x^2-36x+5= | | 26=11n+2n | | 5x^2+11x-12= | | 24m+24m=96 | | 4x^2+28x+24= | | 33x=346 | | 4x^2+1= | | 18z=y | | 3x^2-4x-7= | | x^2-11x-5=0 | | 22x^2-13x+1= | | -5m^2=-125 | | 8x^2=12x+8 | | 4x^2-44x-20=0 | | 3n^2+24n+2n+16=0 | | 5x^2-3x-8= | | 6x^2-6=12 | | 9x^2-30x+25= | | 4x^2-19x+12= | | 81x^2=9 | | 5y-8-13y=12y+6 | | 4n^2-3n-16n+12=0 | | 3a(-5)=18 | | 8x^2+15x-3= | | 46x=443 | | 8x^2-34x+24=-11 |