(7x-3)(2x+1)=

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Solution for (7x-3)(2x+1)= equation:


Simplifying
(7x + -3)(2x + 1) = 0

Reorder the terms:
(-3 + 7x)(2x + 1) = 0

Reorder the terms:
(-3 + 7x)(1 + 2x) = 0

Multiply (-3 + 7x) * (1 + 2x)
(-3(1 + 2x) + 7x * (1 + 2x)) = 0
((1 * -3 + 2x * -3) + 7x * (1 + 2x)) = 0
((-3 + -6x) + 7x * (1 + 2x)) = 0
(-3 + -6x + (1 * 7x + 2x * 7x)) = 0
(-3 + -6x + (7x + 14x2)) = 0

Combine like terms: -6x + 7x = 1x
(-3 + 1x + 14x2) = 0

Solving
-3 + 1x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(3 + -7x) = 0

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286

Solution

x = {-0.5, 0.4285714286}

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