(-8x+13)(-11x+10)=0

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Solution for (-8x+13)(-11x+10)=0 equation:


Simplifying
(-8x + 13)(-11x + 10) = 0

Reorder the terms:
(13 + -8x)(-11x + 10) = 0

Reorder the terms:
(13 + -8x)(10 + -11x) = 0

Multiply (13 + -8x) * (10 + -11x)
(13(10 + -11x) + -8x * (10 + -11x)) = 0
((10 * 13 + -11x * 13) + -8x * (10 + -11x)) = 0
((130 + -143x) + -8x * (10 + -11x)) = 0
(130 + -143x + (10 * -8x + -11x * -8x)) = 0
(130 + -143x + (-80x + 88x2)) = 0

Combine like terms: -143x + -80x = -223x
(130 + -223x + 88x2) = 0

Solving
130 + -223x + 88x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -11x)(13 + -8x) = 0

Subproblem 1

Set the factor '(10 + -11x)' equal to zero and attempt to solve: Simplifying 10 + -11x = 0 Solving 10 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 0 + -10 -11x = 0 + -10 Combine like terms: 0 + -10 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091

Subproblem 2

Set the factor '(13 + -8x)' equal to zero and attempt to solve: Simplifying 13 + -8x = 0 Solving 13 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 0 + -13 -8x = 0 + -13 Combine like terms: 0 + -13 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625

Solution

x = {0.9090909091, 1.625}

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