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Simplifying
(8x + -7)(4x + 7) = 4(7x + -12)
Reorder the terms:
(-7 + 8x)(4x + 7) = 4(7x + -12)
Reorder the terms:
(-7 + 8x)(7 + 4x) = 4(7x + -12)
Multiply (-7 + 8x) * (7 + 4x)
(-7(7 + 4x) + 8x * (7 + 4x)) = 4(7x + -12)
((7 * -7 + 4x * -7) + 8x * (7 + 4x)) = 4(7x + -12)
((-49 + -28x) + 8x * (7 + 4x)) = 4(7x + -12)
(-49 + -28x + (7 * 8x + 4x * 8x)) = 4(7x + -12)
(-49 + -28x + (56x + 32x2)) = 4(7x + -12)
Combine like terms: -28x + 56x = 28x
(-49 + 28x + 32x2) = 4(7x + -12)
Reorder the terms:
-49 + 28x + 32x2 = 4(-12 + 7x)
-49 + 28x + 32x2 = (-12 * 4 + 7x * 4)
-49 + 28x + 32x2 = (-48 + 28x)
Add '-28x' to each side of the equation.
-49 + 28x + -28x + 32x2 = -48 + 28x + -28x
Combine like terms: 28x + -28x = 0
-49 + 0 + 32x2 = -48 + 28x + -28x
-49 + 32x2 = -48 + 28x + -28x
Combine like terms: 28x + -28x = 0
-49 + 32x2 = -48 + 0
-49 + 32x2 = -48
Solving
-49 + 32x2 = -48
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 32x2 = -48 + 49
Combine like terms: -49 + 49 = 0
0 + 32x2 = -48 + 49
32x2 = -48 + 49
Combine like terms: -48 + 49 = 1
32x2 = 1
Divide each side by '32'.
x2 = 0.03125
Simplifying
x2 = 0.03125
Take the square root of each side:
x = {-0.176776695, 0.176776695}
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