35a^2-4a-24=

Simple and best practice solution for 35a^2-4a-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 35a^2-4a-24= equation:


Simplifying
35a2 + -4a + -24 = 0

Reorder the terms:
-24 + -4a + 35a2 = 0

Solving
-24 + -4a + 35a2 = 0

Solving for variable 'a'.

Begin completing the square.  Divide all terms by
35 the coefficient of the squared term: 

Divide each side by '35'.
-0.6857142857 + -0.1142857143a + a2 = 0

Move the constant term to the right:

Add '0.6857142857' to each side of the equation.
-0.6857142857 + -0.1142857143a + 0.6857142857 + a2 = 0 + 0.6857142857

Reorder the terms:
-0.6857142857 + 0.6857142857 + -0.1142857143a + a2 = 0 + 0.6857142857

Combine like terms: -0.6857142857 + 0.6857142857 = 0.0000000000
0.0000000000 + -0.1142857143a + a2 = 0 + 0.6857142857
-0.1142857143a + a2 = 0 + 0.6857142857

Combine like terms: 0 + 0.6857142857 = 0.6857142857
-0.1142857143a + a2 = 0.6857142857

The a term is -0.1142857143a.  Take half its coefficient (-0.05714285715).
Square it (0.003265306123) and add it to both sides.

Add '0.003265306123' to each side of the equation.
-0.1142857143a + 0.003265306123 + a2 = 0.6857142857 + 0.003265306123

Reorder the terms:
0.003265306123 + -0.1142857143a + a2 = 0.6857142857 + 0.003265306123

Combine like terms: 0.6857142857 + 0.003265306123 = 0.688979591823
0.003265306123 + -0.1142857143a + a2 = 0.688979591823

Factor a perfect square on the left side:
(a + -0.05714285715)(a + -0.05714285715) = 0.688979591823

Calculate the square root of the right side: 0.830047945

Break this problem into two subproblems by setting 
(a + -0.05714285715) equal to 0.830047945 and -0.830047945.

Subproblem 1

a + -0.05714285715 = 0.830047945 Simplifying a + -0.05714285715 = 0.830047945 Reorder the terms: -0.05714285715 + a = 0.830047945 Solving -0.05714285715 + a = 0.830047945 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.05714285715' to each side of the equation. -0.05714285715 + 0.05714285715 + a = 0.830047945 + 0.05714285715 Combine like terms: -0.05714285715 + 0.05714285715 = 0.00000000000 0.00000000000 + a = 0.830047945 + 0.05714285715 a = 0.830047945 + 0.05714285715 Combine like terms: 0.830047945 + 0.05714285715 = 0.88719080215 a = 0.88719080215 Simplifying a = 0.88719080215

Subproblem 2

a + -0.05714285715 = -0.830047945 Simplifying a + -0.05714285715 = -0.830047945 Reorder the terms: -0.05714285715 + a = -0.830047945 Solving -0.05714285715 + a = -0.830047945 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.05714285715' to each side of the equation. -0.05714285715 + 0.05714285715 + a = -0.830047945 + 0.05714285715 Combine like terms: -0.05714285715 + 0.05714285715 = 0.00000000000 0.00000000000 + a = -0.830047945 + 0.05714285715 a = -0.830047945 + 0.05714285715 Combine like terms: -0.830047945 + 0.05714285715 = -0.77290508785 a = -0.77290508785 Simplifying a = -0.77290508785

Solution

The solution to the problem is based on the solutions from the subproblems. a = {0.88719080215, -0.77290508785}

See similar equations:

| a^-4b^-2/a^4b^-3 | | X^5/x^25 | | v=f(a+b)solvea | | (x^4-x^3-2x^2+6x-4)= | | (1/2)x-3=5-(4/3)x | | 25y^2-9x^2= | | -2x+2=-2x+3 | | 3y-24=3 | | 2r-6=6 | | u^2-2uv-35v^2= | | 5(2x+3)=6-3(x-3) | | 6x+9=4(x-3)+5 | | -6+a=-4+3a | | Log(6)(3x+14)=4 | | 6=c/-7 | | 12x/6-12=1/3 | | xy+7x+7x+49= | | 2x-5=-11+7x | | 5r-25=175 | | 0.2x-0.8x-35=11 | | y=120t-16t^2 | | 1+1a=56 | | 3x+10=2x+41 | | xy+6x+5y+30= | | 0.2x-0.8-35=11 | | 8t^2-20t-2t+5= | | 2x+28=40x-2 | | χ²-25/x-5 | | 5-4x-(2x-1)= | | 5x+8y=890 | | 13x+4=5x+60 | | 2y+y=33 |

Equations solver categories