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Simplifying
4(6x2 + -7) + -1[6(3x2 + -4) + 3] = 0
Reorder the terms:
4(-7 + 6x2) + -1[6(3x2 + -4) + 3] = 0
(-7 * 4 + 6x2 * 4) + -1[6(3x2 + -4) + 3] = 0
(-28 + 24x2) + -1[6(3x2 + -4) + 3] = 0
Reorder the terms:
-28 + 24x2 + -1[6(-4 + 3x2) + 3] = 0
-28 + 24x2 + -1[(-4 * 6 + 3x2 * 6) + 3] = 0
-28 + 24x2 + -1[(-24 + 18x2) + 3] = 0
Reorder the terms:
-28 + 24x2 + -1[-24 + 3 + 18x2] = 0
Combine like terms: -24 + 3 = -21
-28 + 24x2 + -1[-21 + 18x2] = 0
-28 + 24x2 + [-21 * -1 + 18x2 * -1] = 0
-28 + 24x2 + [21 + -18x2] = 0
Reorder the terms:
-28 + 21 + 24x2 + -18x2 = 0
Combine like terms: -28 + 21 = -7
-7 + 24x2 + -18x2 = 0
Combine like terms: 24x2 + -18x2 = 6x2
-7 + 6x2 = 0
Solving
-7 + 6x2 = 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 + 6x2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 6x2 = 0 + 7
6x2 = 0 + 7
Combine like terms: 0 + 7 = 7
6x2 = 7
Divide each side by '6'.
x2 = 1.166666667
Simplifying
x2 = 1.166666667
Take the square root of each side:
x = {-1.08012345, 1.08012345}
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