(7x+8)(3x-8)=0

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Solution for (7x+8)(3x-8)=0 equation:


Simplifying
(7x + 8)(3x + -8) = 0

Reorder the terms:
(8 + 7x)(3x + -8) = 0

Reorder the terms:
(8 + 7x)(-8 + 3x) = 0

Multiply (8 + 7x) * (-8 + 3x)
(8(-8 + 3x) + 7x * (-8 + 3x)) = 0
((-8 * 8 + 3x * 8) + 7x * (-8 + 3x)) = 0
((-64 + 24x) + 7x * (-8 + 3x)) = 0
(-64 + 24x + (-8 * 7x + 3x * 7x)) = 0
(-64 + 24x + (-56x + 21x2)) = 0

Combine like terms: 24x + -56x = -32x
(-64 + -32x + 21x2) = 0

Solving
-64 + -32x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -7x)(8 + -3x) = 0

Subproblem 1

Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143

Subproblem 2

Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {-1.142857143, 2.666666667}

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