3x^2-42x=-24

Simple and best practice solution for 3x^2-42x=-24 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x^2-42x=-24 equation:


Simplifying
3x2 + -42x = -24

Reorder the terms:
-42x + 3x2 = -24

Solving
-42x + 3x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + -42x + 3x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -42x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + -14x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(8 + -14x + x2)' equal to zero and attempt to solve: Simplifying 8 + -14x + x2 = 0 Solving 8 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -14x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -14x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -14x + x2 = 0 + -8 -14x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -14x + x2 = -8 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -8 + 49 Reorder the terms: 49 + -14x + x2 = -8 + 49 Combine like terms: -8 + 49 = 41 49 + -14x + x2 = 41 Factor a perfect square on the left side: (x + -7)(x + -7) = 41 Calculate the square root of the right side: 6.403124237 Break this problem into two subproblems by setting (x + -7) equal to 6.403124237 and -6.403124237.

Subproblem 1

x + -7 = 6.403124237 Simplifying x + -7 = 6.403124237 Reorder the terms: -7 + x = 6.403124237 Solving -7 + x = 6.403124237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 6.403124237 + 7 Combine like terms: -7 + 7 = 0 0 + x = 6.403124237 + 7 x = 6.403124237 + 7 Combine like terms: 6.403124237 + 7 = 13.403124237 x = 13.403124237 Simplifying x = 13.403124237

Subproblem 2

x + -7 = -6.403124237 Simplifying x + -7 = -6.403124237 Reorder the terms: -7 + x = -6.403124237 Solving -7 + x = -6.403124237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = -6.403124237 + 7 Combine like terms: -7 + 7 = 0 0 + x = -6.403124237 + 7 x = -6.403124237 + 7 Combine like terms: -6.403124237 + 7 = 0.596875763 x = 0.596875763 Simplifying x = 0.596875763

Solution

The solution to the problem is based on the solutions from the subproblems. x = {13.403124237, 0.596875763}

Solution

x = {13.403124237, 0.596875763}

See similar equations:

| 4x^3-180x^2+2000x-5000=0 | | 25=-7m+3-2m-5 | | 3(n-6)=2 | | -3x+4(-3x-6)=-55.5 | | 7k-3=42 | | 4x*3-180x*2+2000x-5000=0 | | 75+24+x=180 | | 2(x+3)=-8x+3 | | 6t+4=5 | | 30-120= | | 5xy+2x+8+8xy= | | h/7-5=11h | | 5(8-2t)=2+16(4*t) | | 3w-3(4w+8)=21 | | (50-2x)(40-2x)x=5000 | | 1=-9(a-8) | | -7=3+5y | | -7=3 | | 5x-2=x+1-7 | | -3b-8=3 | | 9u+5=7 | | 7w-5=44 | | f-8=8 | | c+1=28-8c | | 9(r+5)=4 | | 4y+3=-4+23 | | 2=6p+3 | | 6(7-x)=-24 | | 4=-9(f-9) | | p=18+6 | | 10x-4=y | | 10=5(x+8) |

Equations solver categories