If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 24x + -51 = 0 Reorder the terms: -51 + 24x + 3x2 = 0 Solving -51 + 24x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-17 + 8x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-17 + 8x + x2)' equal to zero and attempt to solve: Simplifying -17 + 8x + x2 = 0 Solving -17 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '17' to each side of the equation. -17 + 8x + 17 + x2 = 0 + 17 Reorder the terms: -17 + 17 + 8x + x2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8x + x2 = 0 + 17 8x + x2 = 0 + 17 Combine like terms: 0 + 17 = 17 8x + x2 = 17 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = 17 + 16 Reorder the terms: 16 + 8x + x2 = 17 + 16 Combine like terms: 17 + 16 = 33 16 + 8x + x2 = 33 Factor a perfect square on the left side: (x + 4)(x + 4) = 33 Calculate the square root of the right side: 5.744562647 Break this problem into two subproblems by setting (x + 4) equal to 5.744562647 and -5.744562647.Subproblem 1
x + 4 = 5.744562647 Simplifying x + 4 = 5.744562647 Reorder the terms: 4 + x = 5.744562647 Solving 4 + x = 5.744562647 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 5.744562647 + -4 Combine like terms: 4 + -4 = 0 0 + x = 5.744562647 + -4 x = 5.744562647 + -4 Combine like terms: 5.744562647 + -4 = 1.744562647 x = 1.744562647 Simplifying x = 1.744562647Subproblem 2
x + 4 = -5.744562647 Simplifying x + 4 = -5.744562647 Reorder the terms: 4 + x = -5.744562647 Solving 4 + x = -5.744562647 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -5.744562647 + -4 Combine like terms: 4 + -4 = 0 0 + x = -5.744562647 + -4 x = -5.744562647 + -4 Combine like terms: -5.744562647 + -4 = -9.744562647 x = -9.744562647 Simplifying x = -9.744562647Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.744562647, -9.744562647}Solution
x = {1.744562647, -9.744562647}
| 4n-18=-36+6n | | 120+20(x/7)=500 | | 12x+19=-4+3 | | -16y+11=-5 | | -12=4(2g-4)+7(g+7) | | 3x^2+24-51=0 | | 4-6a=24+2a | | 72=-2(7x-1) | | 13+7t+9+9t-t=37 | | 13+7t+9+9t+t-t=37 | | -13=-13c+3+10c+5 | | w+a=g | | 8x-30=12x-50 | | (3x-8)(x-2)=0 | | 2y^2+15y+13=0 | | 4y+1=56-y | | 1/2(-4x-6)=12 | | 1/2(4x-6)=12 | | (x^2-y^5)dx+(x^2-5xy)dy=0 | | -12720+20s=0 | | 1.6(x+4)=15 | | x+x+1+x+2=267 | | 10(x-1)+22+4x+14=82 | | y^2-49+14x-x^2=0 | | 3+5(x-2)=13 | | 5x+3y=91 | | 19+3/c=8 | | 8x+6y=160 | | (11x/3)-6=5 | | -12720+20s=-6000 | | 4x+5=3.6 | | -12720+20s=6000 |