(5x-3)(6x-7)=

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Solution for (5x-3)(6x-7)= equation:


Simplifying
(5x + -3)(6x + -7) = 0

Reorder the terms:
(-3 + 5x)(6x + -7) = 0

Reorder the terms:
(-3 + 5x)(-7 + 6x) = 0

Multiply (-3 + 5x) * (-7 + 6x)
(-3(-7 + 6x) + 5x * (-7 + 6x)) = 0
((-7 * -3 + 6x * -3) + 5x * (-7 + 6x)) = 0
((21 + -18x) + 5x * (-7 + 6x)) = 0
(21 + -18x + (-7 * 5x + 6x * 5x)) = 0
(21 + -18x + (-35x + 30x2)) = 0

Combine like terms: -18x + -35x = -53x
(21 + -53x + 30x2) = 0

Solving
21 + -53x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -5x)(7 + -6x) = 0

Subproblem 1

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Subproblem 2

Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667

Solution

x = {0.6, 1.166666667}

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