(4x-7)(2x+11)=

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Solution for (4x-7)(2x+11)= equation:


Simplifying
(4x + -7)(2x + 11) = 0

Reorder the terms:
(-7 + 4x)(2x + 11) = 0

Reorder the terms:
(-7 + 4x)(11 + 2x) = 0

Multiply (-7 + 4x) * (11 + 2x)
(-7(11 + 2x) + 4x * (11 + 2x)) = 0
((11 * -7 + 2x * -7) + 4x * (11 + 2x)) = 0
((-77 + -14x) + 4x * (11 + 2x)) = 0
(-77 + -14x + (11 * 4x + 2x * 4x)) = 0
(-77 + -14x + (44x + 8x2)) = 0

Combine like terms: -14x + 44x = 30x
(-77 + 30x + 8x2) = 0

Solving
-77 + 30x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -2x)(7 + -4x) = 0

Subproblem 1

Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5

Subproblem 2

Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Solution

x = {-5.5, 1.75}

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