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Simplifying
0 = (4x + 3)(4x + -3)
Reorder the terms:
0 = (3 + 4x)(4x + -3)
Reorder the terms:
0 = (3 + 4x)(-3 + 4x)
Multiply (3 + 4x) * (-3 + 4x)
0 = (3(-3 + 4x) + 4x * (-3 + 4x))
0 = ((-3 * 3 + 4x * 3) + 4x * (-3 + 4x))
0 = ((-9 + 12x) + 4x * (-3 + 4x))
0 = (-9 + 12x + (-3 * 4x + 4x * 4x))
0 = (-9 + 12x + (-12x + 16x2))
Combine like terms: 12x + -12x = 0
0 = (-9 + 0 + 16x2)
0 = (-9 + 16x2)
Solving
0 = -9 + 16x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16x2' to each side of the equation.
0 + -16x2 = -9 + 16x2 + -16x2
Remove the zero:
-16x2 = -9 + 16x2 + -16x2
Combine like terms: 16x2 + -16x2 = 0
-16x2 = -9 + 0
-16x2 = -9
Divide each side by '-16'.
x2 = 0.5625
Simplifying
x2 = 0.5625
Take the square root of each side:
x = {-0.75, 0.75}
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