-5(1-5x)(-8x-2)=-4x-8x

Simple and best practice solution for -5(1-5x)(-8x-2)=-4x-8x 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 -5(1-5x)(-8x-2)=-4x-8x equation:


Simplifying
-5(1 + -5x)(-8x + -2) = -4x + -8x

Reorder the terms:
-5(1 + -5x)(-2 + -8x) = -4x + -8x

Multiply (1 + -5x) * (-2 + -8x)
-5(1(-2 + -8x) + -5x * (-2 + -8x)) = -4x + -8x
-5((-2 * 1 + -8x * 1) + -5x * (-2 + -8x)) = -4x + -8x
-5((-2 + -8x) + -5x * (-2 + -8x)) = -4x + -8x
-5(-2 + -8x + (-2 * -5x + -8x * -5x)) = -4x + -8x
-5(-2 + -8x + (10x + 40x2)) = -4x + -8x

Combine like terms: -8x + 10x = 2x
-5(-2 + 2x + 40x2) = -4x + -8x
(-2 * -5 + 2x * -5 + 40x2 * -5) = -4x + -8x
(10 + -10x + -200x2) = -4x + -8x

Combine like terms: -4x + -8x = -12x
10 + -10x + -200x2 = -12x

Solving
10 + -10x + -200x2 = -12x

Solving for variable 'x'.

Reorder the terms:
10 + -10x + 12x + -200x2 = -12x + 12x

Combine like terms: -10x + 12x = 2x
10 + 2x + -200x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
10 + 2x + -200x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + x + -100x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + x + -100x2)' equal to zero and attempt to solve: Simplifying 5 + x + -100x2 = 0 Solving 5 + x + -100x2 = 0 Begin completing the square. Divide all terms by -100 the coefficient of the squared term: Divide each side by '-100'. -0.05 + -0.01x + x2 = 0.00 Move the constant term to the right: Add '0.05' to each side of the equation. -0.05 + -0.01x + 0.05 + x2 = 0.00 + 0.05 Reorder the terms: -0.05 + 0.05 + -0.01x + x2 = 0.00 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + -0.01x + x2 = 0.00 + 0.05 -0.01x + x2 = 0.00 + 0.05 Combine like terms: 0.00 + 0.05 = 0.05 -0.01x + x2 = 0.05 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.01x + 0.25 + x2 = 0.05 + 0.25 Reorder the terms: 0.25 + -0.01x + x2 = 0.05 + 0.25 Combine like terms: 0.05 + 0.25 = 0.3 0.25 + -0.01x + x2 = 0.3 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 0.3 Calculate the square root of the right side: 0.547722558 Break this problem into two subproblems by setting (x + 0.5) equal to 0.547722558 and -0.547722558.

Subproblem 1

x + 0.5 = 0.547722558 Simplifying x + 0.5 = 0.547722558 Reorder the terms: 0.5 + x = 0.547722558 Solving 0.5 + x = 0.547722558 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.547722558 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.547722558 + -0.5 x = 0.547722558 + -0.5 Combine like terms: 0.547722558 + -0.5 = 0.047722558 x = 0.047722558 Simplifying x = 0.047722558

Subproblem 2

x + 0.5 = -0.547722558 Simplifying x + 0.5 = -0.547722558 Reorder the terms: 0.5 + x = -0.547722558 Solving 0.5 + x = -0.547722558 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -0.547722558 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.547722558 + -0.5 x = -0.547722558 + -0.5 Combine like terms: -0.547722558 + -0.5 = -1.047722558 x = -1.047722558 Simplifying x = -1.047722558

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.047722558, -1.047722558}

Solution

x = {0.047722558, -1.047722558}

See similar equations:

| x^2+2x=144 | | 20n/n-13 | | 1-5x=5+3x | | N^2=-25 | | 18x^2+2x-5=0 | | kx^2+3kx+2=1 | | (1/4x+3)=(3/4x+3) | | 27x^2-9y=0 | | 64r^2=36 | | 3[2f+4]=2[3f-6] | | 3x-10+8x-30=180 | | 30x^3-5x^2-60=0 | | 3x^2+29=2 | | 2=22/p | | 4x-9=46-7x | | 10X+40=4X+88 | | -3x+11=7x-17 | | 3x+4[-3(2x+4)]=99 | | (9t^5+3t)-(-3t^5-3t+8)= | | 24-4*5/2+5 | | 8[2f-3]=4[4f-8] | | x+1=2y | | (k/4)+(k/6)=k-7 | | 4x+8=23+2x | | 20y-17=18y-9 | | 2a-8=14 | | 2x^2-125+4x^2=330 | | -32=3(5a+4) | | -17=3+9(h+5) | | 2x-y+3=0 | | -8r-7+6=-29 | | x^2+4+4=0 |

Equations solver categories