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Simplifying
(2x + 3)(3 + -2x) = x(14x)
Reorder the terms:
(3 + 2x)(3 + -2x) = x(14x)
Multiply (3 + 2x) * (3 + -2x)
(3(3 + -2x) + 2x * (3 + -2x)) = x(14x)
((3 * 3 + -2x * 3) + 2x * (3 + -2x)) = x(14x)
((9 + -6x) + 2x * (3 + -2x)) = x(14x)
(9 + -6x + (3 * 2x + -2x * 2x)) = x(14x)
(9 + -6x + (6x + -4x2)) = x(14x)
Combine like terms: -6x + 6x = 0
(9 + 0 + -4x2) = x(14x)
(9 + -4x2) = x(14x)
Remove parenthesis around (14x)
9 + -4x2 = x * 14x
Reorder the terms for easier multiplication:
9 + -4x2 = 14x * x
Multiply x * x
9 + -4x2 = 14x2
Solving
9 + -4x2 = 14x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x2' to each side of the equation.
9 + -4x2 + -14x2 = 14x2 + -14x2
Combine like terms: -4x2 + -14x2 = -18x2
9 + -18x2 = 14x2 + -14x2
Combine like terms: 14x2 + -14x2 = 0
9 + -18x2 = 0
Add '-9' to each side of the equation.
9 + -9 + -18x2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -18x2 = 0 + -9
-18x2 = 0 + -9
Combine like terms: 0 + -9 = -9
-18x2 = -9
Divide each side by '-18'.
x2 = 0.5
Simplifying
x2 = 0.5
Take the square root of each side:
x = {-0.707106781, 0.707106781}
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