Solve x-8 (p(2x)) = 8(x-1)p(x)

Question

Solve the equation

Solve for x

Solve for p

x = 0 x = \frac{1 - 8 p}{8 p}

Evaluate

x - 8 (p \times 2 x) = 8 (x - 1) p x

Remove the parentheses

x - 8 p \times 2 x = 8 (x - 1) p x

Multiply the terms

x - 16 p x = 8 (x - 1) p x

Multiply the terms

x - 16 p x = 8 p x (x - 1)

Expand the expression

More Steps

x - 16 p x = 8 p x^{2} - 8 p x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 16 p) x = 8 p x^{2} - 8 p x

Move the expression to the left side

(1 - 16 p) x - (8 p x^{2} - 8 p x) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

(1 - 16 p) x - 8 p x^{2} + 8 p x = 0

Simplify

More Steps

(1 - 8 p) x - 8 p x^{2} = 0

Expand the expression

x - 8 p x - 8 p x^{2} = 0

Factor the expression

More Steps

x (1 - 8 p - 8 p x) = 0

When the product of factors equals 0,at least one factor is 0

x = 0 1 - 8 p - 8 p x = 0

Solution

More Steps

x = 0 x = \frac{1 - 8 p}{8 p}

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