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Simplifying
7(8x2 + -5) + -1[6(4x2 + -5) + 6] = 0
Reorder the terms:
7(-5 + 8x2) + -1[6(4x2 + -5) + 6] = 0
(-5 * 7 + 8x2 * 7) + -1[6(4x2 + -5) + 6] = 0
(-35 + 56x2) + -1[6(4x2 + -5) + 6] = 0
Reorder the terms:
-35 + 56x2 + -1[6(-5 + 4x2) + 6] = 0
-35 + 56x2 + -1[(-5 * 6 + 4x2 * 6) + 6] = 0
-35 + 56x2 + -1[(-30 + 24x2) + 6] = 0
Reorder the terms:
-35 + 56x2 + -1[-30 + 6 + 24x2] = 0
Combine like terms: -30 + 6 = -24
-35 + 56x2 + -1[-24 + 24x2] = 0
-35 + 56x2 + [-24 * -1 + 24x2 * -1] = 0
-35 + 56x2 + [24 + -24x2] = 0
Reorder the terms:
-35 + 24 + 56x2 + -24x2 = 0
Combine like terms: -35 + 24 = -11
-11 + 56x2 + -24x2 = 0
Combine like terms: 56x2 + -24x2 = 32x2
-11 + 32x2 = 0
Solving
-11 + 32x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 32x2 = 0 + 11
Combine like terms: -11 + 11 = 0
0 + 32x2 = 0 + 11
32x2 = 0 + 11
Combine like terms: 0 + 11 = 11
32x2 = 11
Divide each side by '32'.
x2 = 0.34375
Simplifying
x2 = 0.34375
Take the square root of each side:
x = {-0.58630197, 0.58630197}
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