=-5x^2+85x-350

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Solution for =-5x^2+85x-350 equation:


Simplifying
0 = -5x2 + 85x + -350

Reorder the terms:
0 = -350 + 85x + -5x2

Solving
0 = -350 + 85x + -5x2

Solving for variable 'x'.

Combine like terms: 0 + 350 = 350
350 + -85x + 5x2 = -350 + 85x + -5x2 + 350 + -85x + 5x2

Reorder the terms:
350 + -85x + 5x2 = -350 + 350 + 85x + -85x + -5x2 + 5x2

Combine like terms: -350 + 350 = 0
350 + -85x + 5x2 = 0 + 85x + -85x + -5x2 + 5x2
350 + -85x + 5x2 = 85x + -85x + -5x2 + 5x2

Combine like terms: 85x + -85x = 0
350 + -85x + 5x2 = 0 + -5x2 + 5x2
350 + -85x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
350 + -85x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(70 + -17x + x2) = 0

Factor a trinomial.
5((7 + -1x)(10 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {7, 10}

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