(7x-4)(3x+8)=0

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Solution for (7x-4)(3x+8)=0 equation:


Simplifying
(7x + -4)(3x + 8) = 0

Reorder the terms:
(-4 + 7x)(3x + 8) = 0

Reorder the terms:
(-4 + 7x)(8 + 3x) = 0

Multiply (-4 + 7x) * (8 + 3x)
(-4(8 + 3x) + 7x * (8 + 3x)) = 0
((8 * -4 + 3x * -4) + 7x * (8 + 3x)) = 0
((-32 + -12x) + 7x * (8 + 3x)) = 0
(-32 + -12x + (8 * 7x + 3x * 7x)) = 0
(-32 + -12x + (56x + 21x2)) = 0

Combine like terms: -12x + 56x = 44x
(-32 + 44x + 21x2) = 0

Solving
-32 + 44x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(4 + -7x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Solution

x = {-2.666666667, 0.5714285714}

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