(5x^2-3x-64)+(5x^2+7x)=

Simple and best practice solution for (5x^2-3x-64)+(5x^2+7x)= 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 (5x^2-3x-64)+(5x^2+7x)= equation:


Simplifying
(5x2 + -3x + -64) + (5x2 + 7x) = 0

Reorder the terms:
(-64 + -3x + 5x2) + (5x2 + 7x) = 0

Remove parenthesis around (-64 + -3x + 5x2)
-64 + -3x + 5x2 + (5x2 + 7x) = 0

Reorder the terms:
-64 + -3x + 5x2 + (7x + 5x2) = 0

Remove parenthesis around (7x + 5x2)
-64 + -3x + 5x2 + 7x + 5x2 = 0

Reorder the terms:
-64 + -3x + 7x + 5x2 + 5x2 = 0

Combine like terms: -3x + 7x = 4x
-64 + 4x + 5x2 + 5x2 = 0

Combine like terms: 5x2 + 5x2 = 10x2
-64 + 4x + 10x2 = 0

Solving
-64 + 4x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 2x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-32 + 2x + 5x2)' equal to zero and attempt to solve: Simplifying -32 + 2x + 5x2 = 0 Solving -32 + 2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -6.4 + 0.4x + x2 = 0 Move the constant term to the right: Add '6.4' to each side of the equation. -6.4 + 0.4x + 6.4 + x2 = 0 + 6.4 Reorder the terms: -6.4 + 6.4 + 0.4x + x2 = 0 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 0.4x + x2 = 0 + 6.4 0.4x + x2 = 0 + 6.4 Combine like terms: 0 + 6.4 = 6.4 0.4x + x2 = 6.4 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = 6.4 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = 6.4 + 0.04 Combine like terms: 6.4 + 0.04 = 6.44 0.04 + 0.4x + x2 = 6.44 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = 6.44 Calculate the square root of the right side: 2.537715508 Break this problem into two subproblems by setting (x + 0.2) equal to 2.537715508 and -2.537715508.

Subproblem 1

x + 0.2 = 2.537715508 Simplifying x + 0.2 = 2.537715508 Reorder the terms: 0.2 + x = 2.537715508 Solving 0.2 + x = 2.537715508 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = 2.537715508 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = 2.537715508 + -0.2 x = 2.537715508 + -0.2 Combine like terms: 2.537715508 + -0.2 = 2.337715508 x = 2.337715508 Simplifying x = 2.337715508

Subproblem 2

x + 0.2 = -2.537715508 Simplifying x + 0.2 = -2.537715508 Reorder the terms: 0.2 + x = -2.537715508 Solving 0.2 + x = -2.537715508 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = -2.537715508 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = -2.537715508 + -0.2 x = -2.537715508 + -0.2 Combine like terms: -2.537715508 + -0.2 = -2.737715508 x = -2.737715508 Simplifying x = -2.737715508

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.337715508, -2.737715508}

Solution

x = {2.337715508, -2.737715508}

See similar equations:

| 3x+50=x+10 | | (7x+2)(9x-8)=0 | | 3a+4a=7a | | 24-6=x | | 0.04a+0.07b=660 | | 0y=0y | | 4x-2(x-4)=-7+4x-1 | | 6-8x=7x-10x-19 | | 144=8x+4x | | -5+3C=5+2C | | 8-6z=44 | | x^2+40x+400= | | -17+35=-3(x+4) | | 6x+5x=121 | | -17+35=-2(x+4) | | X^4-81x^2= | | 7x+4x+2x=13 | | 2(4x+5)=10x+5-2x+5 | | 5(3x+7)=-45+35 | | -7x-4=-2x+16 | | -7x-4=2x+16 | | 1000(1+0.05)18= | | 15-(2x+7)=15 | | 16=7p+21+30 | | 9z-z=-1+2z-2-15 | | 3k-36=8 | | -(8-4a)-(17+3a)-4=-(8-6a)+(-a)+7 | | 3/7+2/5= | | x^2+5x-84= | | 6-4z=14 | | 44-4x=5x+21 | | 23-7(x+3+5x)=10 |

Equations solver categories