(5x-1)(5x-1)-x(10x-3(x-4))=18x^2-21

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Solution for (5x-1)(5x-1)-x(10x-3(x-4))=18x^2-21 equation: 


Simplifying
(5x + -1)(5x + -1) + -1x(10x + -3(x + -4)) = 18x2 + -21

Reorder the terms:
(-1 + 5x)(5x + -1) + -1x(10x + -3(x + -4)) = 18x2 + -21

Reorder the terms:
(-1 + 5x)(-1 + 5x) + -1x(10x + -3(x + -4)) = 18x2 + -21

Multiply (-1 + 5x) * (-1 + 5x)
(-1(-1 + 5x) + 5x * (-1 + 5x)) + -1x(10x + -3(x + -4)) = 18x2 + -21
((-1 * -1 + 5x * -1) + 5x * (-1 + 5x)) + -1x(10x + -3(x + -4)) = 18x2 + -21
((1 + -5x) + 5x * (-1 + 5x)) + -1x(10x + -3(x + -4)) = 18x2 + -21
(1 + -5x + (-1 * 5x + 5x * 5x)) + -1x(10x + -3(x + -4)) = 18x2 + -21
(1 + -5x + (-5x + 25x2)) + -1x(10x + -3(x + -4)) = 18x2 + -21

Combine like terms: -5x + -5x = -10x
(1 + -10x + 25x2) + -1x(10x + -3(x + -4)) = 18x2 + -21

Reorder the terms:
1 + -10x + 25x2 + -1x(10x + -3(-4 + x)) = 18x2 + -21
1 + -10x + 25x2 + -1x(10x + (-4 * -3 + x * -3)) = 18x2 + -21
1 + -10x + 25x2 + -1x(10x + (12 + -3x)) = 18x2 + -21

Reorder the terms:
1 + -10x + 25x2 + -1x(12 + 10x + -3x) = 18x2 + -21

Combine like terms: 10x + -3x = 7x
1 + -10x + 25x2 + -1x(12 + 7x) = 18x2 + -21
1 + -10x + 25x2 + (12 * -1x + 7x * -1x) = 18x2 + -21
1 + -10x + 25x2 + (-12x + -7x2) = 18x2 + -21

Reorder the terms:
1 + -10x + -12x + 25x2 + -7x2 = 18x2 + -21

Combine like terms: -10x + -12x = -22x
1 + -22x + 25x2 + -7x2 = 18x2 + -21

Combine like terms: 25x2 + -7x2 = 18x2
1 + -22x + 18x2 = 18x2 + -21

Reorder the terms:
1 + -22x + 18x2 = -21 + 18x2

Add '-18x2' to each side of the equation.
1 + -22x + 18x2 + -18x2 = -21 + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
1 + -22x + 0 = -21 + 18x2 + -18x2
1 + -22x = -21 + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
1 + -22x = -21 + 0
1 + -22x = -21

Solving
1 + -22x = -21

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -22x = -21 + -1

Combine like terms: 1 + -1 = 0
0 + -22x = -21 + -1
-22x = -21 + -1

Combine like terms: -21 + -1 = -22
-22x = -22

Divide each side by '-22'.
x = 1

Simplifying
x = 1

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