4(5+2x)7(x-1)=

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Solution for 4(5+2x)7(x-1)= equation: 


Simplifying
4(5 + 2x) * 7(x + -1) = 0

Reorder the terms:
4(5 + 2x) * 7(-1 + x) = 0

Reorder the terms for easier multiplication:
4 * 7(5 + 2x)(-1 + x) = 0

Multiply 4 * 7
28(5 + 2x)(-1 + x) = 0

Multiply (5 + 2x) * (-1 + x)
28(5(-1 + x) + 2x * (-1 + x)) = 0
28((-1 * 5 + x * 5) + 2x * (-1 + x)) = 0
28((-5 + 5x) + 2x * (-1 + x)) = 0
28(-5 + 5x + (-1 * 2x + x * 2x)) = 0
28(-5 + 5x + (-2x + 2x2)) = 0

Combine like terms: 5x + -2x = 3x
28(-5 + 3x + 2x2) = 0
(-5 * 28 + 3x * 28 + 2x2 * 28) = 0
(-140 + 84x + 56x2) = 0

Solving
-140 + 84x + 56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '28'.
28(-5 + 3x + 2x2) = 0

Factor a trinomial.
28((-5 + -2x)(1 + -1x)) = 0

Ignore the factor 28.

Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-2.5, 1}

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