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Simplifying
8(-4x + 7)(x + 4) + 72x = 0
Reorder the terms:
8(7 + -4x)(x + 4) + 72x = 0
Reorder the terms:
8(7 + -4x)(4 + x) + 72x = 0
Multiply (7 + -4x) * (4 + x)
8(7(4 + x) + -4x * (4 + x)) + 72x = 0
8((4 * 7 + x * 7) + -4x * (4 + x)) + 72x = 0
8((28 + 7x) + -4x * (4 + x)) + 72x = 0
8(28 + 7x + (4 * -4x + x * -4x)) + 72x = 0
8(28 + 7x + (-16x + -4x2)) + 72x = 0
Combine like terms: 7x + -16x = -9x
8(28 + -9x + -4x2) + 72x = 0
(28 * 8 + -9x * 8 + -4x2 * 8) + 72x = 0
(224 + -72x + -32x2) + 72x = 0
Reorder the terms:
224 + -72x + 72x + -32x2 = 0
Combine like terms: -72x + 72x = 0
224 + 0 + -32x2 = 0
224 + -32x2 = 0
Solving
224 + -32x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-224' to each side of the equation.
224 + -224 + -32x2 = 0 + -224
Combine like terms: 224 + -224 = 0
0 + -32x2 = 0 + -224
-32x2 = 0 + -224
Combine like terms: 0 + -224 = -224
-32x2 = -224
Divide each side by '-32'.
x2 = 7
Simplifying
x2 = 7
Take the square root of each side:
x = {-2.645751311, 2.645751311}
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