(8x-7)(x-5)=0

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Solution for (8x-7)(x-5)=0 equation:


Simplifying
(8x + -7)(x + -5) = 0

Reorder the terms:
(-7 + 8x)(x + -5) = 0

Reorder the terms:
(-7 + 8x)(-5 + x) = 0

Multiply (-7 + 8x) * (-5 + x)
(-7(-5 + x) + 8x * (-5 + x)) = 0
((-5 * -7 + x * -7) + 8x * (-5 + x)) = 0
((35 + -7x) + 8x * (-5 + x)) = 0
(35 + -7x + (-5 * 8x + x * 8x)) = 0
(35 + -7x + (-40x + 8x2)) = 0

Combine like terms: -7x + -40x = -47x
(35 + -47x + 8x2) = 0

Solving
35 + -47x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -8x)(5 + -1x) = 0

Subproblem 1

Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.875, 5}

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