Solve c^(2) 2c(2x 1)=-3x^(2)

Question

Solve the equation

Solve for x

Solve for c

x = 0 x = - \frac{4 c ^{3}}{3}

Evaluate

c^{2} \times 2 c (2 x \times 1) = - 3 x^{2}

Remove the parentheses

c^{2} \times 2 c \times 2 x \times 1 = - 3 x^{2}

Multiply the terms

More Steps

Evaluate

c^{2} \times 2 c \times 2 x \times 1

Rewrite the expression

c^{2} \times 2 c \times 2 x

Multiply the terms with the same base by adding their exponents

c^{2 + 1} \times 2 \times 2 x

Add the numbers

c^{3} \times 2 \times 2 x

Multiply the terms

c^{3} \times 4 x

Use the commutative property to reorder the terms

4 c^{3} x

4 c^{3} x = - 3 x^{2}

Add or subtract both sides

4 c^{3} x - (- 3 x^{2}) = 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

4 c^{3} x + 3 x^{2} = 0

Factor the expression

More Steps

Evaluate

4 c^{3} x + 3 x^{2}

Rewrite the expression

x \times 4 c^{3} + x \times 3 x

Factor out x from the expression

x (4 c^{3} + 3 x)

x (4 c^{3} + 3 x) = 0

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

x = 0 4 c^{3} + 3 x = 0

Solution

More Steps

Evaluate

4 c^{3} + 3 x = 0

Move the expression to the right-hand side and change its sign

3 x = 0 - 4 c^{3}

Removing 0 doesn't change the value,so remove it from the expression

3 x = - 4 c^{3}

Divide both sides

\frac{3 x}{3} = \frac{- 4 c ^{3}}{3}

Divide the numbers

x = \frac{- 4 c ^{3}}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{4 c ^{3}}{3}

x = 0 x = - \frac{4 c ^{3}}{3}

Show Solution