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

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


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

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

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

Multiply (-2 + 7x) * (-3 + -4x)
(-2(-3 + -4x) + 7x * (-3 + -4x)) = 0
((-3 * -2 + -4x * -2) + 7x * (-3 + -4x)) = 0
((6 + 8x) + 7x * (-3 + -4x)) = 0
(6 + 8x + (-3 * 7x + -4x * 7x)) = 0
(6 + 8x + (-21x + -28x2)) = 0

Combine like terms: 8x + -21x = -13x
(6 + -13x + -28x2) = 0

Solving
6 + -13x + -28x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Subproblem 2

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {0.2857142857, -0.75}

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