(7x-6)(8x+3)=

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Solution for (7x-6)(8x+3)= equation:


Simplifying
(7x + -6)(8x + 3) = 0

Reorder the terms:
(-6 + 7x)(8x + 3) = 0

Reorder the terms:
(-6 + 7x)(3 + 8x) = 0

Multiply (-6 + 7x) * (3 + 8x)
(-6(3 + 8x) + 7x * (3 + 8x)) = 0
((3 * -6 + 8x * -6) + 7x * (3 + 8x)) = 0
((-18 + -48x) + 7x * (3 + 8x)) = 0
(-18 + -48x + (3 * 7x + 8x * 7x)) = 0
(-18 + -48x + (21x + 56x2)) = 0

Combine like terms: -48x + 21x = -27x
(-18 + -27x + 56x2) = 0

Solving
-18 + -27x + 56x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -8x)(6 + -7x) = 0

Subproblem 1

Set the factor '(-3 + -8x)' equal to zero and attempt to solve: Simplifying -3 + -8x = 0 Solving -3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375

Subproblem 2

Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571

Solution

x = {-0.375, 0.8571428571}

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