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Simplifying
(6x2 + 4) + -1(4x2 + -3) = 31
Reorder the terms:
(4 + 6x2) + -1(4x2 + -3) = 31
Remove parenthesis around (4 + 6x2)
4 + 6x2 + -1(4x2 + -3) = 31
Reorder the terms:
4 + 6x2 + -1(-3 + 4x2) = 31
4 + 6x2 + (-3 * -1 + 4x2 * -1) = 31
4 + 6x2 + (3 + -4x2) = 31
Reorder the terms:
4 + 3 + 6x2 + -4x2 = 31
Combine like terms: 4 + 3 = 7
7 + 6x2 + -4x2 = 31
Combine like terms: 6x2 + -4x2 = 2x2
7 + 2x2 = 31
Solving
7 + 2x2 = 31
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 + 2x2 = 31 + -7
Combine like terms: 7 + -7 = 0
0 + 2x2 = 31 + -7
2x2 = 31 + -7
Combine like terms: 31 + -7 = 24
2x2 = 24
Divide each side by '2'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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