Basic Math Examples

$4 c + 7 c + 3 c^{7} c + 6 = 180$

Step 1

Simplify $4 c + 7 c + 3 c^{7} c + 6$ .

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Step 1.1

Multiply $c^{7}$ by $c$ by adding the exponents.

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Step 1.1.1

Move $c$ .

$4 c + 7 c + 3 (c \cdot c^{7}) + 6 = 180$

Step 1.1.2

Multiply $c$ by $c^{7}$ .

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Step 1.1.2.1

Raise $c$ to the power of $1$ .

$4 c + 7 c + 3 (c^{1} c^{7}) + 6 = 180$

Step 1.1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 c + 7 c + 3 c^{1 + 7} + 6 = 180$

Step 1.1.3

Add $1$ and $7$ .

$4 c + 7 c + 3 c^{8} + 6 = 180$

Step 1.2

Add $4 c$ and $7 c$ .

$11 c + 3 c^{8} + 6 = 180$

Step 2

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

$c \approx - 1.682346, 1.63867031$

Step 3