7(4x+3)(4x-3)=

Solution for 7(4x+3)(4x-3)= equation:

Simplifying
7(4x + 3)(4x + -3) = 0

Reorder the terms:
7(3 + 4x)(4x + -3) = 0

Reorder the terms:
7(3 + 4x)(-3 + 4x) = 0

Multiply (3 + 4x) * (-3 + 4x)
7(3(-3 + 4x) + 4x * (-3 + 4x)) = 0
7((-3 * 3 + 4x * 3) + 4x * (-3 + 4x)) = 0
7((-9 + 12x) + 4x * (-3 + 4x)) = 0
7(-9 + 12x + (-3 * 4x + 4x * 4x)) = 0
7(-9 + 12x + (-12x + 16x2)) = 0

Combine like terms: 12x + -12x = 0
7(-9 + 0 + 16x2) = 0
7(-9 + 16x2) = 0
(-9 * 7 + 16x2 * 7) = 0
(-63 + 112x2) = 0

Solving
-63 + 112x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '63' to each side of the equation.
-63 + 63 + 112x2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + 112x2 = 0 + 63
112x2 = 0 + 63

Combine like terms: 0 + 63 = 63
112x2 = 63

Divide each side by '112'.
x2 = 0.5625

Simplifying
x2 = 0.5625

Take the square root of each side:
x = {-0.75, 0.75}