19x^2+2-[5(x^2-7)+7]=0

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Solution for 19x^2+2-[5(x^2-7)+7]=0 equation:


Simplifying
19x2 + 2 + -1[5(x2 + -7) + 7] = 0

Reorder the terms:
19x2 + 2 + -1[5(-7 + x2) + 7] = 0
19x2 + 2 + -1[(-7 * 5 + x2 * 5) + 7] = 0
19x2 + 2 + -1[(-35 + 5x2) + 7] = 0

Reorder the terms:
19x2 + 2 + -1[-35 + 7 + 5x2] = 0

Combine like terms: -35 + 7 = -28
19x2 + 2 + -1[-28 + 5x2] = 0
19x2 + 2 + [-28 * -1 + 5x2 * -1] = 0
19x2 + 2 + [28 + -5x2] = 0

Reorder the terms:
2 + 28 + 19x2 + -5x2 = 0

Combine like terms: 2 + 28 = 30
30 + 19x2 + -5x2 = 0

Combine like terms: 19x2 + -5x2 = 14x2
30 + 14x2 = 0

Solving
30 + 14x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-30' to each side of the equation.
30 + -30 + 14x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 14x2 = 0 + -30
14x2 = 0 + -30

Combine like terms: 0 + -30 = -30
14x2 = -30

Divide each side by '14'.
x2 = -2.142857143

Simplifying
x2 = -2.142857143

Reorder the terms:
2.142857143 + x2 = -2.142857143 + 2.142857143

Combine like terms: -2.142857143 + 2.142857143 = 0.000000000
2.142857143 + x2 = 0.000000000

The solution to this equation could not be determined.

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