7(7x^2-2)-[6(4x^2-4)+3]=0

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Solution for 7(7x^2-2)-[6(4x^2-4)+3]=0 equation:


Simplifying
7(7x2 + -2) + -1[6(4x2 + -4) + 3] = 0

Reorder the terms:
7(-2 + 7x2) + -1[6(4x2 + -4) + 3] = 0
(-2 * 7 + 7x2 * 7) + -1[6(4x2 + -4) + 3] = 0
(-14 + 49x2) + -1[6(4x2 + -4) + 3] = 0

Reorder the terms:
-14 + 49x2 + -1[6(-4 + 4x2) + 3] = 0
-14 + 49x2 + -1[(-4 * 6 + 4x2 * 6) + 3] = 0
-14 + 49x2 + -1[(-24 + 24x2) + 3] = 0

Reorder the terms:
-14 + 49x2 + -1[-24 + 3 + 24x2] = 0

Combine like terms: -24 + 3 = -21
-14 + 49x2 + -1[-21 + 24x2] = 0
-14 + 49x2 + [-21 * -1 + 24x2 * -1] = 0
-14 + 49x2 + [21 + -24x2] = 0

Reorder the terms:
-14 + 21 + 49x2 + -24x2 = 0

Combine like terms: -14 + 21 = 7
7 + 49x2 + -24x2 = 0

Combine like terms: 49x2 + -24x2 = 25x2
7 + 25x2 = 0

Solving
7 + 25x2 = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 25x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 25x2 = 0 + -7
25x2 = 0 + -7

Combine like terms: 0 + -7 = -7
25x2 = -7

Divide each side by '25'.
x2 = -0.28

Simplifying
x2 = -0.28

Reorder the terms:
0.28 + x2 = -0.28 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.28 + x2 = 0.00

The solution to this equation could not be determined.

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