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

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Solution for 2x*2x=(5-4x)*(1-x) equation:


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

Reorder the terms for easier multiplication:
2 * 2x * x = (5 + -4x)(1 + -1x)

Multiply 2 * 2
4x * x = (5 + -4x)(1 + -1x)

Multiply x * x
4x2 = (5 + -4x)(1 + -1x)

Multiply (5 + -4x) * (1 + -1x)
4x2 = (5(1 + -1x) + -4x * (1 + -1x))
4x2 = ((1 * 5 + -1x * 5) + -4x * (1 + -1x))
4x2 = ((5 + -5x) + -4x * (1 + -1x))
4x2 = (5 + -5x + (1 * -4x + -1x * -4x))
4x2 = (5 + -5x + (-4x + 4x2))

Combine like terms: -5x + -4x = -9x
4x2 = (5 + -9x + 4x2)

Add '-4x2' to each side of the equation.
4x2 + -4x2 = 5 + -9x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = 5 + -9x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = 5 + -9x + 0
0 = 5 + -9x

Solving
0 = 5 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
0 + 9x = 5 + -9x + 9x
Remove the zero:
9x = 5 + -9x + 9x

Combine like terms: -9x + 9x = 0
9x = 5 + 0
9x = 5

Divide each side by '9'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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