Finite Math Examples

$(x) = x^{3} - 10 x^{2} + 4^{2} x - 72$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $x^{3}$ from both sides of the equation.

$(x) - x^{3} = - 10 x^{2} + 4^{2} x - 72$

Step 1.2

Add $10 x^{2}$ to both sides of the equation.

$(x) - x^{3} + 10 x^{2} = 4^{2} x - 72$

Step 1.3

Subtract $4^{2} x$ from both sides of the equation.

$(x) - x^{3} + 10 x^{2} - 4^{2} x = - 72$

Step 1.4

Add $72$ to both sides of the equation.

$(x) - x^{3} + 10 x^{2} - 4^{2} x + 72 = 0$

Step 2

Simplify $(x) - x^{3} + 10 x^{2} - 4^{2} x + 72$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $4$ to the power of $2$ .

$(x) - x^{3} + 10 x^{2} - 1 \cdot 16 x + 72 = 0$

Step 2.1.2

Multiply $- 1$ by $16$ .

$(x) - x^{3} + 10 x^{2} - 16 x + 72 = 0$

Step 2.2

Subtract $16 x$ from $x$ .

$- x^{3} + 10 x^{2} - 15 x + 72 = 0$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 9.22007651$

Step 4