Solve 3x^4/5=7-2x

Evaluate

3 \times \frac{x ^{4}}{5} = 7 - 2 x

Multiply the terms

\frac{3 x ^{4}}{5} = 7 - 2 x

Multiply both sides of the equation by LCD

\frac{3 x ^{4}}{5} \times 5 = (7 - 2 x) \times 5

Simplify the equation

3 x^{4} = (7 - 2 x) \times 5

Simplify the equation

More Steps

3 x^{4} = 35 - 10 x

Move the expression to the left side

3 x^{4} - (35 - 10 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

3 x^{4} - 35 + 10 x = 0

Calculate

x \approx 1.58873 x \approx 0.243827 + 1.864717 i x \approx 0.243827 - 1.864717 i x \approx - 2.076385

Solution

x_{1} \approx - 2.076385, x_{2} \approx 0.243827 - 1.864717 i, x_{3} \approx 0.243827 + 1.864717 i, x_{4} \approx 1.58873

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