-(2x+15)=5x(-7x)-3(5)

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Solution for -(2x+15)=5x(-7x)-3(5) equation:


Simplifying
-1(2x + 15) = 5x(-7x) + -3(5)

Reorder the terms:
-1(15 + 2x) = 5x(-7x) + -3(5)
(15 * -1 + 2x * -1) = 5x(-7x) + -3(5)
(-15 + -2x) = 5x(-7x) + -3(5)

Remove parenthesis around (-7x)
-15 + -2x = 5x * -7x + -3(5)

Reorder the terms for easier multiplication:
-15 + -2x = 5 * -7x * x + -3(5)

Multiply 5 * -7
-15 + -2x = -35x * x + -3(5)

Multiply x * x
-15 + -2x = -35x2 + -3(5)

Multiply -3 * 5
-15 + -2x = -35x2 + -15

Reorder the terms:
-15 + -2x = -15 + -35x2

Add '15' to each side of the equation.
-15 + 15 + -2x = -15 + 15 + -35x2

Combine like terms: -15 + 15 = 0
0 + -2x = -15 + 15 + -35x2
-2x = -15 + 15 + -35x2

Combine like terms: -15 + 15 = 0
-2x = 0 + -35x2
-2x = -35x2

Solving
-2x = -35x2

Solving for variable 'x'.

Combine like terms: -35x2 + 35x2 = 0
-2x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 35x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-2 + 35x)' equal to zero and attempt to solve: Simplifying -2 + 35x = 0 Solving -2 + 35x = 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 + 35x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 35x = 0 + 2 35x = 0 + 2 Combine like terms: 0 + 2 = 2 35x = 2 Divide each side by '35'. x = 0.05714285714 Simplifying x = 0.05714285714

Solution

x = {0, 0.05714285714}

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