What is the general solution for solvefor x,3x^2-2+2sinx=0 ?

The general solution for solvefor x,3x^2-2+2sinx=0 is x\approx-1.1263

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solvefor x,3x^2-2+2sinx=0

solve for

x, 3 x^{2} - 2 + 2 sin (x) = 0

x \approx - 1.1263

Degrees

x = - 64.53223 \dots^{\circ}

Solution steps

3 x^{2} - 2 + 2 sin (x) = 0

Find the interval where both equation sides share the same range:

- \frac{2}{3} \leq x \leq \frac{2}{3}

- \frac{2}{3} \leq x \leq \frac{2}{3}

Find the difference function:

3 x^{2} + 2 sin (x) - 2

3 x^{2} + 2 sin (x) - 2

Extreme points of

3 x^{2} + 2 sin (x) - 2

- \frac{2}{3} \leq x \leq \frac{2}{3}

(- \frac{2}{3}, - 2 sin (\frac{2}{3}) + 2), (- 0.31675, - 2.32196 \dots), (\frac{2}{3}, 2 sin (\frac{2}{3}) + 2)

Find the x-axis intersections

x \approx - 1.1263, x \approx 0.55937

Since the equation is undefined for:

0.55937

x \approx - 1.1263

What is the general solution for solvefor x,3x^2-2+2sinx=0 ?
The general solution for solvefor x,3x^2-2+2sinx=0 is x\approx-1.1263