15x^2+5-[7(x^2-3)+7]=

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Solution for 15x^2+5-[7(x^2-3)+7]= equation:


Simplifying
15x2 + 5 + -1[7(x2 + -3) + 7] = 0

Reorder the terms:
15x2 + 5 + -1[7(-3 + x2) + 7] = 0
15x2 + 5 + -1[(-3 * 7 + x2 * 7) + 7] = 0
15x2 + 5 + -1[(-21 + 7x2) + 7] = 0

Reorder the terms:
15x2 + 5 + -1[-21 + 7 + 7x2] = 0

Combine like terms: -21 + 7 = -14
15x2 + 5 + -1[-14 + 7x2] = 0
15x2 + 5 + [-14 * -1 + 7x2 * -1] = 0
15x2 + 5 + [14 + -7x2] = 0

Reorder the terms:
5 + 14 + 15x2 + -7x2 = 0

Combine like terms: 5 + 14 = 19
19 + 15x2 + -7x2 = 0

Combine like terms: 15x2 + -7x2 = 8x2
19 + 8x2 = 0

Solving
19 + 8x2 = 0

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 8x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8x2 = 0 + -19
8x2 = 0 + -19

Combine like terms: 0 + -19 = -19
8x2 = -19

Divide each side by '8'.
x2 = -2.375

Simplifying
x2 = -2.375

Reorder the terms:
2.375 + x2 = -2.375 + 2.375

Combine like terms: -2.375 + 2.375 = 0.000
2.375 + x2 = 0.000

The solution to this equation could not be determined.

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