(19x+18)(-13x+18)=

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Solution for (19x+18)(-13x+18)= equation:


Simplifying
(19x + 18)(-13x + 18) = 0

Reorder the terms:
(18 + 19x)(-13x + 18) = 0

Reorder the terms:
(18 + 19x)(18 + -13x) = 0

Multiply (18 + 19x) * (18 + -13x)
(18(18 + -13x) + 19x * (18 + -13x)) = 0
((18 * 18 + -13x * 18) + 19x * (18 + -13x)) = 0
((324 + -234x) + 19x * (18 + -13x)) = 0
(324 + -234x + (18 * 19x + -13x * 19x)) = 0
(324 + -234x + (342x + -247x2)) = 0

Combine like terms: -234x + 342x = 108x
(324 + 108x + -247x2) = 0

Solving
324 + 108x + -247x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(18 + -13x)(18 + 19x) = 0

Subproblem 1

Set the factor '(18 + -13x)' equal to zero and attempt to solve: Simplifying 18 + -13x = 0 Solving 18 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -13x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = 0 + -18 -13x = 0 + -18 Combine like terms: 0 + -18 = -18 -13x = -18 Divide each side by '-13'. x = 1.384615385 Simplifying x = 1.384615385

Subproblem 2

Set the factor '(18 + 19x)' equal to zero and attempt to solve: Simplifying 18 + 19x = 0 Solving 18 + 19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 19x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = 0 + -18 19x = 0 + -18 Combine like terms: 0 + -18 = -18 19x = -18 Divide each side by '19'. x = -0.9473684211 Simplifying x = -0.9473684211

Solution

x = {1.384615385, -0.9473684211}

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