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Simplifying
(2x + 3)(2x + -3) + 7 = 0
Reorder the terms:
(3 + 2x)(2x + -3) + 7 = 0
Reorder the terms:
(3 + 2x)(-3 + 2x) + 7 = 0
Multiply (3 + 2x) * (-3 + 2x)
(3(-3 + 2x) + 2x * (-3 + 2x)) + 7 = 0
((-3 * 3 + 2x * 3) + 2x * (-3 + 2x)) + 7 = 0
((-9 + 6x) + 2x * (-3 + 2x)) + 7 = 0
(-9 + 6x + (-3 * 2x + 2x * 2x)) + 7 = 0
(-9 + 6x + (-6x + 4x2)) + 7 = 0
Combine like terms: 6x + -6x = 0
(-9 + 0 + 4x2) + 7 = 0
(-9 + 4x2) + 7 = 0
Reorder the terms:
-9 + 7 + 4x2 = 0
Combine like terms: -9 + 7 = -2
-2 + 4x2 = 0
Solving
-2 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 4x2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 4x2 = 0 + 2
4x2 = 0 + 2
Combine like terms: 0 + 2 = 2
4x2 = 2
Divide each side by '4'.
x2 = 0.5
Simplifying
x2 = 0.5
Take the square root of each side:
x = {-0.707106781, 0.707106781}
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