(4x+-7)(2x+-3)=

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Solution for (4x+-7)(2x+-3)= equation:


Simplifying
(4x + -7)(2x + -3) = 0

Reorder the terms:
(-7 + 4x)(2x + -3) = 0

Reorder the terms:
(-7 + 4x)(-3 + 2x) = 0

Multiply (-7 + 4x) * (-3 + 2x)
(-7(-3 + 2x) + 4x * (-3 + 2x)) = 0
((-3 * -7 + 2x * -7) + 4x * (-3 + 2x)) = 0
((21 + -14x) + 4x * (-3 + 2x)) = 0
(21 + -14x + (-3 * 4x + 2x * 4x)) = 0
(21 + -14x + (-12x + 8x2)) = 0

Combine like terms: -14x + -12x = -26x
(21 + -26x + 8x2) = 0

Solving
21 + -26x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -2x)(7 + -4x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

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 = {1.5, 1.75}

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