Pre-Algebra Examples

$4 + 3 x \cdot x < - 4$

Step 1

Multiply $x$ by $x$ by adding the exponents.

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Step 1.1

Move $x$ .

$4 + 3 (x \cdot x) < - 4$

Step 1.2

Multiply $x$ by $x$ .

$4 + 3 x^{2} < - 4$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

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Step 2.1

Subtract $4$ from both sides of the inequality.

$3 x^{2} < - 4 - 4$

Step 2.2

Subtract $4$ from $- 4$ .

$3 x^{2} < - 8$

Step 3

Divide each term in $3 x^{2} < - 8$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x^{2} < - 8$ by $3$ .

$\frac{3 x^{2}}{3} < \frac{- 8}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 x^{2}}{3} < \frac{- 8}{3}$

Step 3.2.1.2

Divide $x^{2}$ by $1$ .

$x^{2} < \frac{- 8}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x^{2} < - \frac{8}{3}$

Step 4

Since the left side has an even power, it is always positive for all real numbers.

No solution

Step 5