2x(8x-5)-7x(x-3)=5x-1

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Solution for 2x(8x-5)-7x(x-3)=5x-1 equation: 


Simplifying
2x(8x + -5) + -7x(x + -3) = 5x + -1

Reorder the terms:
2x(-5 + 8x) + -7x(x + -3) = 5x + -1
(-5 * 2x + 8x * 2x) + -7x(x + -3) = 5x + -1
(-10x + 16x2) + -7x(x + -3) = 5x + -1

Reorder the terms:
-10x + 16x2 + -7x(-3 + x) = 5x + -1
-10x + 16x2 + (-3 * -7x + x * -7x) = 5x + -1
-10x + 16x2 + (21x + -7x2) = 5x + -1

Reorder the terms:
-10x + 21x + 16x2 + -7x2 = 5x + -1

Combine like terms: -10x + 21x = 11x
11x + 16x2 + -7x2 = 5x + -1

Combine like terms: 16x2 + -7x2 = 9x2
11x + 9x2 = 5x + -1

Reorder the terms:
11x + 9x2 = -1 + 5x

Solving
11x + 9x2 = -1 + 5x

Solving for variable 'x'.

Reorder the terms:
1 + 11x + -5x + 9x2 = -1 + 5x + 1 + -5x

Combine like terms: 11x + -5x = 6x
1 + 6x + 9x2 = -1 + 5x + 1 + -5x

Reorder the terms:
1 + 6x + 9x2 = -1 + 1 + 5x + -5x

Combine like terms: -1 + 1 = 0
1 + 6x + 9x2 = 0 + 5x + -5x
1 + 6x + 9x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 6x + 9x2 = 0

Factor a trinomial.
(1 + 3x)(1 + 3x) = 0


Subproblem 1
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-0.3333333333, -0.3333333333}

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